Finding the Third Proportional to 14,561 and 22,111

Step by Step Solution

1. Step 1: Write the proportion equation
   14,561 : 22,111 = 22,111 : x
2. Step 2: Convert to fraction form
   14,561/22,111 = 22,111/x
3. Step 3: Cross multiply
   14,561x = 22,111 × 22,111
4. Step 4: Simplify right side
   14,561x = 488,896,321
5. Step 5: Solve for x
   x = 488,896,321/14,561
6. Step 6: Final answer
   x = 33,575.74