Finding the Third Proportional to 38,657 and 59,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,657 : 59,731.50 = 59,731.50 : x
2. Step 2: Convert to fraction form
   38,657/59,731.50 = 59,731.50/x
3. Step 3: Cross multiply
   38,657x = 59,731.50 × 59,731.50
4. Step 4: Simplify right side
   38,657x = 3,567,852,092.25
5. Step 5: Solve for x
   x = 3,567,852,092.25/38,657
6. Step 6: Final answer
   x = 92,295.11