Finding the Third Proportional to 34,532.50 and 76,325

Step by Step Solution

1. Step 1: Write the proportion equation
   34,532.50 : 76,325 = 76,325 : x
2. Step 2: Convert to fraction form
   34,532.50/76,325 = 76,325/x
3. Step 3: Cross multiply
   34,532.50x = 76,325 × 76,325
4. Step 4: Simplify right side
   34,532.50x = 5,825,505,625
5. Step 5: Solve for x
   x = 5,825,505,625/34,532.50
6. Step 6: Final answer
   x = 168,696.32