Finding the Third Proportional to 31,782.38 and 44,453.81

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782.38 : 44,453.81 = 44,453.81 : x
2. Step 2: Convert to fraction form
   31,782.38/44,453.81 = 44,453.81/x
3. Step 3: Cross multiply
   31,782.38x = 44,453.81 × 44,453.81
4. Step 4: Simplify right side
   31,782.38x = 1,976,141,445.79
5. Step 5: Solve for x
   x = 1,976,141,445.79/31,782.38
6. Step 6: Final answer
   x = 62,177.27