Finding the Third Proportional to 9,749 and 23,000

Step by Step Solution

1. Step 1: Write the proportion equation
   9,749 : 23,000 = 23,000 : x
2. Step 2: Convert to fraction form
   9,749/23,000 = 23,000/x
3. Step 3: Cross multiply
   9,749x = 23,000 × 23,000
4. Step 4: Simplify right side
   9,749x = 529,000,000
5. Step 5: Solve for x
   x = 529,000,000/9,749
6. Step 6: Final answer
   x = 54,261.98