Finding the Third Proportional to 36,632 and 75,004

Step by Step Solution

1. Step 1: Write the proportion equation
   36,632 : 75,004 = 75,004 : x
2. Step 2: Convert to fraction form
   36,632/75,004 = 75,004/x
3. Step 3: Cross multiply
   36,632x = 75,004 × 75,004
4. Step 4: Simplify right side
   36,632x = 5,625,600,016
5. Step 5: Solve for x
   x = 5,625,600,016/36,632
6. Step 6: Final answer
   x = 153,570.65