Finding the Third Proportional to 35,856 and 78,624

Step by Step Solution

1. Step 1: Write the proportion equation
   35,856 : 78,624 = 78,624 : x
2. Step 2: Convert to fraction form
   35,856/78,624 = 78,624/x
3. Step 3: Cross multiply
   35,856x = 78,624 × 78,624
4. Step 4: Simplify right side
   35,856x = 6,181,733,376
5. Step 5: Solve for x
   x = 6,181,733,376/35,856
6. Step 6: Final answer
   x = 172,404.43