Finding the Third Proportional to 17,742 and 29,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742 : 29,568.50 = 29,568.50 : x
2. Step 2: Convert to fraction form
   17,742/29,568.50 = 29,568.50/x
3. Step 3: Cross multiply
   17,742x = 29,568.50 × 29,568.50
4. Step 4: Simplify right side
   17,742x = 874,296,192.25
5. Step 5: Solve for x
   x = 874,296,192.25/17,742
6. Step 6: Final answer
   x = 49,278.33