Finding the Third Proportional to 22,464 and 34,633

Step by Step Solution

1. Step 1: Write the proportion equation
   22,464 : 34,633 = 34,633 : x
2. Step 2: Convert to fraction form
   22,464/34,633 = 34,633/x
3. Step 3: Cross multiply
   22,464x = 34,633 × 34,633
4. Step 4: Simplify right side
   22,464x = 1,199,444,689
5. Step 5: Solve for x
   x = 1,199,444,689/22,464
6. Step 6: Final answer
   x = 53,394.08