Finding the Third Proportional to 35,932.50 and 78,162.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,932.50 : 78,162.75 = 78,162.75 : x
2. Step 2: Convert to fraction form
   35,932.50/78,162.75 = 78,162.75/x
3. Step 3: Cross multiply
   35,932.50x = 78,162.75 × 78,162.75
4. Step 4: Simplify right side
   35,932.50x = 6,109,415,487.56
5. Step 5: Solve for x
   x = 6,109,415,487.56/35,932.50
6. Step 6: Final answer
   x = 170,024.78