Finding the Third Proportional to 35,933.50 and 78,158.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,933.50 : 78,158.75 = 78,158.75 : x
2. Step 2: Convert to fraction form
   35,933.50/78,158.75 = 78,158.75/x
3. Step 3: Cross multiply
   35,933.50x = 78,158.75 × 78,158.75
4. Step 4: Simplify right side
   35,933.50x = 6,108,790,201.56
5. Step 5: Solve for x
   x = 6,108,790,201.56/35,933.50
6. Step 6: Final answer
   x = 170,002.65