Finding the Third Proportional to 35,507.25 and 76,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,507.25 : 76,522.50 = 76,522.50 : x
2. Step 2: Convert to fraction form
   35,507.25/76,522.50 = 76,522.50/x
3. Step 3: Cross multiply
   35,507.25x = 76,522.50 × 76,522.50
4. Step 4: Simplify right side
   35,507.25x = 5,855,693,006.25
5. Step 5: Solve for x
   x = 5,855,693,006.25/35,507.25
6. Step 6: Final answer
   x = 164,915.42