Finding the Third Proportional to 14,500 and 22,362

Step by Step Solution

1. Step 1: Write the proportion equation
   14,500 : 22,362 = 22,362 : x
2. Step 2: Convert to fraction form
   14,500/22,362 = 22,362/x
3. Step 3: Cross multiply
   14,500x = 22,362 × 22,362
4. Step 4: Simplify right side
   14,500x = 500,059,044
5. Step 5: Solve for x
   x = 500,059,044/14,500
6. Step 6: Final answer
   x = 34,486.83