Finding the Third Proportional to 26,184 and 41,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,184 : 41,800.50 = 41,800.50 : x
2. Step 2: Convert to fraction form
   26,184/41,800.50 = 41,800.50/x
3. Step 3: Cross multiply
   26,184x = 41,800.50 × 41,800.50
4. Step 4: Simplify right side
   26,184x = 1,747,281,800.25
5. Step 5: Solve for x
   x = 1,747,281,800.25/26,184
6. Step 6: Final answer
   x = 66,730.90