Finding the Third Proportional to 17,779.50 and 27,400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,779.50 : 27,400.50 = 27,400.50 : x
2. Step 2: Convert to fraction form
   17,779.50/27,400.50 = 27,400.50/x
3. Step 3: Cross multiply
   17,779.50x = 27,400.50 × 27,400.50
4. Step 4: Simplify right side
   17,779.50x = 750,787,400.25
5. Step 5: Solve for x
   x = 750,787,400.25/17,779.50
6. Step 6: Final answer
   x = 42,227.70