Finding the Third Proportional to 38,878.50 and 83,734.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,878.50 : 83,734.13 = 83,734.13 : x
2. Step 2: Convert to fraction form
   38,878.50/83,734.13 = 83,734.13/x
3. Step 3: Cross multiply
   38,878.50x = 83,734.13 × 83,734.13
4. Step 4: Simplify right side
   38,878.50x = 7,011,403,689.52
5. Step 5: Solve for x
   x = 7,011,403,689.52/38,878.50
6. Step 6: Final answer
   x = 180,341.41