Finding the Third Proportional to 26,353.50 and 41,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,353.50 : 41,164.50 = 41,164.50 : x
2. Step 2: Convert to fraction form
   26,353.50/41,164.50 = 41,164.50/x
3. Step 3: Cross multiply
   26,353.50x = 41,164.50 × 41,164.50
4. Step 4: Simplify right side
   26,353.50x = 1,694,516,060.25
5. Step 5: Solve for x
   x = 1,694,516,060.25/26,353.50
6. Step 6: Final answer
   x = 64,299.47