Finding the Third Proportional to 32,132 and 69,640

Step by Step Solution

1. Step 1: Write the proportion equation
   32,132 : 69,640 = 69,640 : x
2. Step 2: Convert to fraction form
   32,132/69,640 = 69,640/x
3. Step 3: Cross multiply
   32,132x = 69,640 × 69,640
4. Step 4: Simplify right side
   32,132x = 4,849,729,600
5. Step 5: Solve for x
   x = 4,849,729,600/32,132
6. Step 6: Final answer
   x = 150,931.46