Finding the Third Proportional to 20,080.13 and 31,785.75

Step by Step Solution

1. Step 1: Write the proportion equation
   20,080.13 : 31,785.75 = 31,785.75 : x
2. Step 2: Convert to fraction form
   20,080.13/31,785.75 = 31,785.75/x
3. Step 3: Cross multiply
   20,080.13x = 31,785.75 × 31,785.75
4. Step 4: Simplify right side
   20,080.13x = 1,010,333,903.06
5. Step 5: Solve for x
   x = 1,010,333,903.06/20,080.13
6. Step 6: Final answer
   x = 50,315.12