Finding the Third Proportional to 14,776 and 21,884

Step by Step Solution

1. Step 1: Write the proportion equation
   14,776 : 21,884 = 21,884 : x
2. Step 2: Convert to fraction form
   14,776/21,884 = 21,884/x
3. Step 3: Cross multiply
   14,776x = 21,884 × 21,884
4. Step 4: Simplify right side
   14,776x = 478,909,456
5. Step 5: Solve for x
   x = 478,909,456/14,776
6. Step 6: Final answer
   x = 32,411.31