Finding the Third Proportional to 15,664 and 32,606

Step by Step Solution

1. Step 1: Write the proportion equation
   15,664 : 32,606 = 32,606 : x
2. Step 2: Convert to fraction form
   15,664/32,606 = 32,606/x
3. Step 3: Cross multiply
   15,664x = 32,606 × 32,606
4. Step 4: Simplify right side
   15,664x = 1,063,151,236
5. Step 5: Solve for x
   x = 1,063,151,236/15,664
6. Step 6: Final answer
   x = 67,872.27