Finding the Third Proportional to 76,425.50 and 85,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,425.50 : 85,902.50 = 85,902.50 : x
2. Step 2: Convert to fraction form
   76,425.50/85,902.50 = 85,902.50/x
3. Step 3: Cross multiply
   76,425.50x = 85,902.50 × 85,902.50
4. Step 4: Simplify right side
   76,425.50x = 7,379,239,506.25
5. Step 5: Solve for x
   x = 7,379,239,506.25/76,425.50
6. Step 6: Final answer
   x = 96,554.68