Finding the Third Proportional to 35,677.34 and 78,416.86

Step by Step Solution

1. Step 1: Write the proportion equation
   35,677.34 : 78,416.86 = 78,416.86 : x
2. Step 2: Convert to fraction form
   35,677.34/78,416.86 = 78,416.86/x
3. Step 3: Cross multiply
   35,677.34x = 78,416.86 × 78,416.86
4. Step 4: Simplify right side
   35,677.34x = 6,149,203,834.24
5. Step 5: Solve for x
   x = 6,149,203,834.24/35,677.34
6. Step 6: Final answer
   x = 172,356.03