Finding the Third Proportional to 31,279.50 and 35,790.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,279.50 : 35,790.75 = 35,790.75 : x
2. Step 2: Convert to fraction form
   31,279.50/35,790.75 = 35,790.75/x
3. Step 3: Cross multiply
   31,279.50x = 35,790.75 × 35,790.75
4. Step 4: Simplify right side
   31,279.50x = 1,280,977,785.56
5. Step 5: Solve for x
   x = 1,280,977,785.56/31,279.50
6. Step 6: Final answer
   x = 40,952.63