Finding the Third Proportional to 35,719.50 and 76,359.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,719.50 : 76,359.75 = 76,359.75 : x
2. Step 2: Convert to fraction form
   35,719.50/76,359.75 = 76,359.75/x
3. Step 3: Cross multiply
   35,719.50x = 76,359.75 × 76,359.75
4. Step 4: Simplify right side
   35,719.50x = 5,830,811,420.06
5. Step 5: Solve for x
   x = 5,830,811,420.06/35,719.50
6. Step 6: Final answer
   x = 163,238.89