Finding the Third Proportional to 14,470 and 21,606

Step by Step Solution

1. Step 1: Write the proportion equation
   14,470 : 21,606 = 21,606 : x
2. Step 2: Convert to fraction form
   14,470/21,606 = 21,606/x
3. Step 3: Cross multiply
   14,470x = 21,606 × 21,606
4. Step 4: Simplify right side
   14,470x = 466,819,236
5. Step 5: Solve for x
   x = 466,819,236/14,470
6. Step 6: Final answer
   x = 32,261.18