Finding the Third Proportional to 23,829.19 and 35,766.56

Step by Step Solution

1. Step 1: Write the proportion equation
   23,829.19 : 35,766.56 = 35,766.56 : x
2. Step 2: Convert to fraction form
   23,829.19/35,766.56 = 35,766.56/x
3. Step 3: Cross multiply
   23,829.19x = 35,766.56 × 35,766.56
4. Step 4: Simplify right side
   23,829.19x = 1,279,246,993.07
5. Step 5: Solve for x
   x = 1,279,246,993.07/23,829.19
6. Step 6: Final answer
   x = 53,684.04