Finding the Third Proportional to 35,632.50 and 75,270

Step by Step Solution

1. Step 1: Write the proportion equation
   35,632.50 : 75,270 = 75,270 : x
2. Step 2: Convert to fraction form
   35,632.50/75,270 = 75,270/x
3. Step 3: Cross multiply
   35,632.50x = 75,270 × 75,270
4. Step 4: Simplify right side
   35,632.50x = 5,665,572,900
5. Step 5: Solve for x
   x = 5,665,572,900/35,632.50
6. Step 6: Final answer
   x = 159,000.15