Finding the Third Proportional to 26,302.50 and 35,619.75

Step by Step Solution

1. Step 1: Write the proportion equation
   26,302.50 : 35,619.75 = 35,619.75 : x
2. Step 2: Convert to fraction form
   26,302.50/35,619.75 = 35,619.75/x
3. Step 3: Cross multiply
   26,302.50x = 35,619.75 × 35,619.75
4. Step 4: Simplify right side
   26,302.50x = 1,268,766,590.06
5. Step 5: Solve for x
   x = 1,268,766,590.06/26,302.50
6. Step 6: Final answer
   x = 48,237.49