Finding the Third Proportional to 35,100 and 74,142

Step by Step Solution

1. Step 1: Write the proportion equation
   35,100 : 74,142 = 74,142 : x
2. Step 2: Convert to fraction form
   35,100/74,142 = 74,142/x
3. Step 3: Cross multiply
   35,100x = 74,142 × 74,142
4. Step 4: Simplify right side
   35,100x = 5,497,036,164
5. Step 5: Solve for x
   x = 5,497,036,164/35,100
6. Step 6: Final answer
   x = 156,610.72