Finding the Third Proportional to 35,715.38 and 78,440.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,715.38 : 78,440.63 = 78,440.63 : x
2. Step 2: Convert to fraction form
   35,715.38/78,440.63 = 78,440.63/x
3. Step 3: Cross multiply
   35,715.38x = 78,440.63 × 78,440.63
4. Step 4: Simplify right side
   35,715.38x = 6,152,931,650.39
5. Step 5: Solve for x
   x = 6,152,931,650.39/35,715.38
6. Step 6: Final answer
   x = 172,276.83