Finding the Third Proportional to 38,902.50 and 79,233.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,902.50 : 79,233.75 = 79,233.75 : x
2. Step 2: Convert to fraction form
   38,902.50/79,233.75 = 79,233.75/x
3. Step 3: Cross multiply
   38,902.50x = 79,233.75 × 79,233.75
4. Step 4: Simplify right side
   38,902.50x = 6,277,987,139.06
5. Step 5: Solve for x
   x = 6,277,987,139.06/38,902.50
6. Step 6: Final answer
   x = 161,377.47