Finding the Third Proportional to 13,896 and 32,142

Step by Step Solution

1. Step 1: Write the proportion equation
   13,896 : 32,142 = 32,142 : x
2. Step 2: Convert to fraction form
   13,896/32,142 = 32,142/x
3. Step 3: Cross multiply
   13,896x = 32,142 × 32,142
4. Step 4: Simplify right side
   13,896x = 1,033,108,164
5. Step 5: Solve for x
   x = 1,033,108,164/13,896
6. Step 6: Final answer
   x = 74,345.72