Finding the Third Proportional to 26,641.75 and 39,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,641.75 : 39,779.50 = 39,779.50 : x
2. Step 2: Convert to fraction form
   26,641.75/39,779.50 = 39,779.50/x
3. Step 3: Cross multiply
   26,641.75x = 39,779.50 × 39,779.50
4. Step 4: Simplify right side
   26,641.75x = 1,582,408,620.25
5. Step 5: Solve for x
   x = 1,582,408,620.25/26,641.75
6. Step 6: Final answer
   x = 59,395.82