Finding the Third Proportional to 14,786 and 21,606

Step by Step Solution

1. Step 1: Write the proportion equation
   14,786 : 21,606 = 21,606 : x
2. Step 2: Convert to fraction form
   14,786/21,606 = 21,606/x
3. Step 3: Cross multiply
   14,786x = 21,606 × 21,606
4. Step 4: Simplify right side
   14,786x = 466,819,236
5. Step 5: Solve for x
   x = 466,819,236/14,786
6. Step 6: Final answer
   x = 31,571.71