Finding the Third Proportional to 54,697.50 and 85,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,697.50 : 85,693.50 = 85,693.50 : x
2. Step 2: Convert to fraction form
   54,697.50/85,693.50 = 85,693.50/x
3. Step 3: Cross multiply
   54,697.50x = 85,693.50 × 85,693.50
4. Step 4: Simplify right side
   54,697.50x = 7,343,375,942.25
5. Step 5: Solve for x
   x = 7,343,375,942.25/54,697.50
6. Step 6: Final answer
   x = 134,254.33