Finding the Third Proportional to 38,902.50 and 85,337.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,902.50 : 85,337.25 = 85,337.25 : x
2. Step 2: Convert to fraction form
   38,902.50/85,337.25 = 85,337.25/x
3. Step 3: Cross multiply
   38,902.50x = 85,337.25 × 85,337.25
4. Step 4: Simplify right side
   38,902.50x = 7,282,446,237.56
5. Step 5: Solve for x
   x = 7,282,446,237.56/38,902.50
6. Step 6: Final answer
   x = 187,197.38