Finding the Third Proportional to 10,782.56 and 23,640.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782.56 : 23,640.19 = 23,640.19 : x
2. Step 2: Convert to fraction form
   10,782.56/23,640.19 = 23,640.19/x
3. Step 3: Cross multiply
   10,782.56x = 23,640.19 × 23,640.19
4. Step 4: Simplify right side
   10,782.56x = 558,858,465.04
5. Step 5: Solve for x
   x = 558,858,465.04/10,782.56
6. Step 6: Final answer
   x = 51,829.84