Finding the Third Proportional to 14,624 and 23,092

Step by Step Solution

1. Step 1: Write the proportion equation
   14,624 : 23,092 = 23,092 : x
2. Step 2: Convert to fraction form
   14,624/23,092 = 23,092/x
3. Step 3: Cross multiply
   14,624x = 23,092 × 23,092
4. Step 4: Simplify right side
   14,624x = 533,240,464
5. Step 5: Solve for x
   x = 533,240,464/14,624
6. Step 6: Final answer
   x = 36,463.38