Finding the Third Proportional to 35,134.50 and 76,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,134.50 : 76,147.50 = 76,147.50 : x
2. Step 2: Convert to fraction form
   35,134.50/76,147.50 = 76,147.50/x
3. Step 3: Cross multiply
   35,134.50x = 76,147.50 × 76,147.50
4. Step 4: Simplify right side
   35,134.50x = 5,798,441,756.25
5. Step 5: Solve for x
   x = 5,798,441,756.25/35,134.50
6. Step 6: Final answer
   x = 165,035.56