Finding the Third Proportional to 17,746 and 29,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,746 : 29,574.50 = 29,574.50 : x
2. Step 2: Convert to fraction form
   17,746/29,574.50 = 29,574.50/x
3. Step 3: Cross multiply
   17,746x = 29,574.50 × 29,574.50
4. Step 4: Simplify right side
   17,746x = 874,651,050.25
5. Step 5: Solve for x
   x = 874,651,050.25/17,746
6. Step 6: Final answer
   x = 49,287.22