Finding the Third Proportional to 38,377 and 51,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,377 : 51,517.50 = 51,517.50 : x
2. Step 2: Convert to fraction form
   38,377/51,517.50 = 51,517.50/x
3. Step 3: Cross multiply
   38,377x = 51,517.50 × 51,517.50
4. Step 4: Simplify right side
   38,377x = 2,654,052,806.25
5. Step 5: Solve for x
   x = 2,654,052,806.25/38,377
6. Step 6: Final answer
   x = 69,157.38