Finding the Third Proportional to 23,829.19 and 35,584.31

Step by Step Solution

1. Step 1: Write the proportion equation
   23,829.19 : 35,584.31 = 35,584.31 : x
2. Step 2: Convert to fraction form
   23,829.19/35,584.31 = 35,584.31/x
3. Step 3: Cross multiply
   23,829.19x = 35,584.31 × 35,584.31
4. Step 4: Simplify right side
   23,829.19x = 1,266,243,296.10
5. Step 5: Solve for x
   x = 1,266,243,296.10/23,829.19
6. Step 6: Final answer
   x = 53,138.33