Finding the Third Proportional to 35,632 and 76,028

Step by Step Solution

1. Step 1: Write the proportion equation
   35,632 : 76,028 = 76,028 : x
2. Step 2: Convert to fraction form
   35,632/76,028 = 76,028/x
3. Step 3: Cross multiply
   35,632x = 76,028 × 76,028
4. Step 4: Simplify right side
   35,632x = 5,780,256,784
5. Step 5: Solve for x
   x = 5,780,256,784/35,632
6. Step 6: Final answer
   x = 162,220.95