Finding the Third Proportional to 23,829.19 and 34,206.05

Step by Step Solution

1. Step 1: Write the proportion equation
   23,829.19 : 34,206.05 = 34,206.05 : x
2. Step 2: Convert to fraction form
   23,829.19/34,206.05 = 34,206.05/x
3. Step 3: Cross multiply
   23,829.19x = 34,206.05 × 34,206.05
4. Step 4: Simplify right side
   23,829.19x = 1,170,053,642.81
5. Step 5: Solve for x
   x = 1,170,053,642.81/23,829.19
6. Step 6: Final answer
   x = 49,101.70