Finding the Third Proportional to 21,800 and 32,614

Step by Step Solution

1. Step 1: Write the proportion equation
   21,800 : 32,614 = 32,614 : x
2. Step 2: Convert to fraction form
   21,800/32,614 = 32,614/x
3. Step 3: Cross multiply
   21,800x = 32,614 × 32,614
4. Step 4: Simplify right side
   21,800x = 1,063,672,996
5. Step 5: Solve for x
   x = 1,063,672,996/21,800
6. Step 6: Final answer
   x = 48,792.34