Finding the Third Proportional to 17,740 and 29,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,740 : 29,565.50 = 29,565.50 : x
2. Step 2: Convert to fraction form
   17,740/29,565.50 = 29,565.50/x
3. Step 3: Cross multiply
   17,740x = 29,565.50 × 29,565.50
4. Step 4: Simplify right side
   17,740x = 874,118,790.25
5. Step 5: Solve for x
   x = 874,118,790.25/17,740
6. Step 6: Final answer
   x = 49,273.89