Finding the Third Proportional to 14,582 and 31,466

Step by Step Solution

1. Step 1: Write the proportion equation
   14,582 : 31,466 = 31,466 : x
2. Step 2: Convert to fraction form
   14,582/31,466 = 31,466/x
3. Step 3: Cross multiply
   14,582x = 31,466 × 31,466
4. Step 4: Simplify right side
   14,582x = 990,109,156
5. Step 5: Solve for x
   x = 990,109,156/14,582
6. Step 6: Final answer
   x = 67,899.41