Finding the Third Proportional to 35,632 and 76,200

Step by Step Solution

1. Step 1: Write the proportion equation
   35,632 : 76,200 = 76,200 : x
2. Step 2: Convert to fraction form
   35,632/76,200 = 76,200/x
3. Step 3: Cross multiply
   35,632x = 76,200 × 76,200
4. Step 4: Simplify right side
   35,632x = 5,806,440,000
5. Step 5: Solve for x
   x = 5,806,440,000/35,632
6. Step 6: Final answer
   x = 162,955.77