Finding the Third Proportional to 13,760 and 32,004

Step by Step Solution

1. Step 1: Write the proportion equation
   13,760 : 32,004 = 32,004 : x
2. Step 2: Convert to fraction form
   13,760/32,004 = 32,004/x
3. Step 3: Cross multiply
   13,760x = 32,004 × 32,004
4. Step 4: Simplify right side
   13,760x = 1,024,256,016
5. Step 5: Solve for x
   x = 1,024,256,016/13,760
6. Step 6: Final answer
   x = 74,437.21