Finding the Third Proportional to 11,464 and 23,532

Step by Step Solution

1. Step 1: Write the proportion equation
   11,464 : 23,532 = 23,532 : x
2. Step 2: Convert to fraction form
   11,464/23,532 = 23,532/x
3. Step 3: Cross multiply
   11,464x = 23,532 × 23,532
4. Step 4: Simplify right side
   11,464x = 553,755,024
5. Step 5: Solve for x
   x = 553,755,024/11,464
6. Step 6: Final answer
   x = 48,303.82