Finding the Third Proportional to 35,709.61 and 78,470.02

Step by Step Solution

1. Step 1: Write the proportion equation
   35,709.61 : 78,470.02 = 78,470.02 : x
2. Step 2: Convert to fraction form
   35,709.61/78,470.02 = 78,470.02/x
3. Step 3: Cross multiply
   35,709.61x = 78,470.02 × 78,470.02
4. Step 4: Simplify right side
   35,709.61x = 6,157,543,352.19
5. Step 5: Solve for x
   x = 6,157,543,352.19/35,709.61
6. Step 6: Final answer
   x = 172,433.79