Finding the Third Proportional to 15,140 and 32,456

Step by Step Solution

1. Step 1: Write the proportion equation
   15,140 : 32,456 = 32,456 : x
2. Step 2: Convert to fraction form
   15,140/32,456 = 32,456/x
3. Step 3: Cross multiply
   15,140x = 32,456 × 32,456
4. Step 4: Simplify right side
   15,140x = 1,053,391,936
5. Step 5: Solve for x
   x = 1,053,391,936/15,140
6. Step 6: Final answer
   x = 69,576.75