Finding the Third Proportional to 22,853 and 34,523

Step by Step Solution

1. Step 1: Write the proportion equation
   22,853 : 34,523 = 34,523 : x
2. Step 2: Convert to fraction form
   22,853/34,523 = 34,523/x
3. Step 3: Cross multiply
   22,853x = 34,523 × 34,523
4. Step 4: Simplify right side
   22,853x = 1,191,837,529
5. Step 5: Solve for x
   x = 1,191,837,529/22,853
6. Step 6: Final answer
   x = 52,152.34