Finding the Third Proportional to 26,641.50 and 39,779.25

Step by Step Solution

1. Step 1: Write the proportion equation
   26,641.50 : 39,779.25 = 39,779.25 : x
2. Step 2: Convert to fraction form
   26,641.50/39,779.25 = 39,779.25/x
3. Step 3: Cross multiply
   26,641.50x = 39,779.25 × 39,779.25
4. Step 4: Simplify right side
   26,641.50x = 1,582,388,730.56
5. Step 5: Solve for x
   x = 1,582,388,730.56/26,641.50
6. Step 6: Final answer
   x = 59,395.63