Finding the Third Proportional to 2,000,540,924,723 and 2,699,199,423,538

Step by Step Solution

1. Step 1: Write the proportion equation
   2,000,540,924,723 : 2,699,199,423,538 = 2,699,199,423,538 : x
2. Step 2: Convert to fraction form
   2,000,540,924,723/2,699,199,423,538 = 2,699,199,423,538/x
3. Step 3: Cross multiply
   2,000,540,924,723x = 2,699,199,423,538 × 2,699,199,423,538
4. Step 4: Simplify right side
   2,000,540,924,723x = 7,285,677,528,027,871,049,678,848
5. Step 5: Solve for x
   x = 7,285,677,528,027,871,049,678,848/2,000,540,924,723
6. Step 6: Final answer
   x = 3,641,853,779,640.46