Finding the Third Proportional to 14,562 and 21,820

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562 : 21,820 = 21,820 : x
2. Step 2: Convert to fraction form
   14,562/21,820 = 21,820/x
3. Step 3: Cross multiply
   14,562x = 21,820 × 21,820
4. Step 4: Simplify right side
   14,562x = 476,112,400
5. Step 5: Solve for x
   x = 476,112,400/14,562
6. Step 6: Final answer
   x = 32,695.54