Finding the Third Proportional to 37,960.50 and 83,301.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,960.50 : 83,301.75 = 83,301.75 : x
2. Step 2: Convert to fraction form
   37,960.50/83,301.75 = 83,301.75/x
3. Step 3: Cross multiply
   37,960.50x = 83,301.75 × 83,301.75
4. Step 4: Simplify right side
   37,960.50x = 6,939,181,553.06
5. Step 5: Solve for x
   x = 6,939,181,553.06/37,960.50
6. Step 6: Final answer
   x = 182,800.06