Finding the Third Proportional to 37,993.50 and 83,142

Step by Step Solution

1. Step 1: Write the proportion equation
   37,993.50 : 83,142 = 83,142 : x
2. Step 2: Convert to fraction form
   37,993.50/83,142 = 83,142/x
3. Step 3: Cross multiply
   37,993.50x = 83,142 × 83,142
4. Step 4: Simplify right side
   37,993.50x = 6,912,592,164
5. Step 5: Solve for x
   x = 6,912,592,164/37,993.50
6. Step 6: Final answer
   x = 181,941.44