Finding the Third Proportional to 17,782.50 and 27,443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,782.50 : 27,443.25 = 27,443.25 : x
2. Step 2: Convert to fraction form
   17,782.50/27,443.25 = 27,443.25/x
3. Step 3: Cross multiply
   17,782.50x = 27,443.25 × 27,443.25
4. Step 4: Simplify right side
   17,782.50x = 753,131,970.56
5. Step 5: Solve for x
   x = 753,131,970.56/17,782.50
6. Step 6: Final answer
   x = 42,352.42