Finding the Third Proportional to 35,798 and 52,600

Step by Step Solution

1. Step 1: Write the proportion equation
   35,798 : 52,600 = 52,600 : x
2. Step 2: Convert to fraction form
   35,798/52,600 = 52,600/x
3. Step 3: Cross multiply
   35,798x = 52,600 × 52,600
4. Step 4: Simplify right side
   35,798x = 2,766,760,000
5. Step 5: Solve for x
   x = 2,766,760,000/35,798
6. Step 6: Final answer
   x = 77,288.12