Finding the Third Proportional to 38,902.50 and 85,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,902.50 : 85,369.50 = 85,369.50 : x
2. Step 2: Convert to fraction form
   38,902.50/85,369.50 = 85,369.50/x
3. Step 3: Cross multiply
   38,902.50x = 85,369.50 × 85,369.50
4. Step 4: Simplify right side
   38,902.50x = 7,287,951,530.25
5. Step 5: Solve for x
   x = 7,287,951,530.25/38,902.50
6. Step 6: Final answer
   x = 187,338.90