Finding the Third Proportional to 14,816 and 32,494

Step by Step Solution

1. Step 1: Write the proportion equation
   14,816 : 32,494 = 32,494 : x
2. Step 2: Convert to fraction form
   14,816/32,494 = 32,494/x
3. Step 3: Cross multiply
   14,816x = 32,494 × 32,494
4. Step 4: Simplify right side
   14,816x = 1,055,860,036
5. Step 5: Solve for x
   x = 1,055,860,036/14,816
6. Step 6: Final answer
   x = 71,264.85