Finding the Third Proportional to 21,663 and 34,466

Step by Step Solution

1. Step 1: Write the proportion equation
   21,663 : 34,466 = 34,466 : x
2. Step 2: Convert to fraction form
   21,663/34,466 = 34,466/x
3. Step 3: Cross multiply
   21,663x = 34,466 × 34,466
4. Step 4: Simplify right side
   21,663x = 1,187,905,156
5. Step 5: Solve for x
   x = 1,187,905,156/21,663
6. Step 6: Final answer
   x = 54,835.67