Finding the Third Proportional to 26,469 and 37,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,469 : 37,099.50 = 37,099.50 : x
2. Step 2: Convert to fraction form
   26,469/37,099.50 = 37,099.50/x
3. Step 3: Cross multiply
   26,469x = 37,099.50 × 37,099.50
4. Step 4: Simplify right side
   26,469x = 1,376,372,900.25
5. Step 5: Solve for x
   x = 1,376,372,900.25/26,469
6. Step 6: Final answer
   x = 51,999.43