Finding the Third Proportional to 12,585.38 and 19,708.31

Step by Step Solution

1. Step 1: Write the proportion equation
   12,585.38 : 19,708.31 = 19,708.31 : x
2. Step 2: Convert to fraction form
   12,585.38/19,708.31 = 19,708.31/x
3. Step 3: Cross multiply
   12,585.38x = 19,708.31 × 19,708.31
4. Step 4: Simplify right side
   12,585.38x = 388,417,581.60
5. Step 5: Solve for x
   x = 388,417,581.60/12,585.38
6. Step 6: Final answer
   x = 30,862.61