Finding the Third Proportional to 38,020.50 and 78,451.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38,020.50 : 78,451.88 = 78,451.88 : x
2. Step 2: Convert to fraction form
   38,020.50/78,451.88 = 78,451.88/x
3. Step 3: Cross multiply
   38,020.50x = 78,451.88 × 78,451.88
4. Step 4: Simplify right side
   38,020.50x = 6,154,696,691.02
5. Step 5: Solve for x
   x = 6,154,696,691.02/38,020.50
6. Step 6: Final answer
   x = 161,878.37