Finding the Third Proportional to 32,311 and 69,714

Step by Step Solution

1. Step 1: Write the proportion equation
   32,311 : 69,714 = 69,714 : x
2. Step 2: Convert to fraction form
   32,311/69,714 = 69,714/x
3. Step 3: Cross multiply
   32,311x = 69,714 × 69,714
4. Step 4: Simplify right side
   32,311x = 4,860,041,796
5. Step 5: Solve for x
   x = 4,860,041,796/32,311
6. Step 6: Final answer
   x = 150,414.47