Finding the Third Proportional to 15,144 and 32,464

Step by Step Solution

1. Step 1: Write the proportion equation
   15,144 : 32,464 = 32,464 : x
2. Step 2: Convert to fraction form
   15,144/32,464 = 32,464/x
3. Step 3: Cross multiply
   15,144x = 32,464 × 32,464
4. Step 4: Simplify right side
   15,144x = 1,053,911,296
5. Step 5: Solve for x
   x = 1,053,911,296/15,144
6. Step 6: Final answer
   x = 69,592.66