Finding the Third Proportional to 14,866 and 32,466

Step by Step Solution

1. Step 1: Write the proportion equation
   14,866 : 32,466 = 32,466 : x
2. Step 2: Convert to fraction form
   14,866/32,466 = 32,466/x
3. Step 3: Cross multiply
   14,866x = 32,466 × 32,466
4. Step 4: Simplify right side
   14,866x = 1,054,041,156
5. Step 5: Solve for x
   x = 1,054,041,156/14,866
6. Step 6: Final answer
   x = 70,902.81