Finding the Third Proportional to 35,287.50 and 76,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,287.50 : 76,114.50 = 76,114.50 : x
2. Step 2: Convert to fraction form
   35,287.50/76,114.50 = 76,114.50/x
3. Step 3: Cross multiply
   35,287.50x = 76,114.50 × 76,114.50
4. Step 4: Simplify right side
   35,287.50x = 5,793,417,110.25
5. Step 5: Solve for x
   x = 5,793,417,110.25/35,287.50
6. Step 6: Final answer
   x = 164,177.60