Finding the Third Proportional to 26,099.50 and 42,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,099.50 : 42,022.50 = 42,022.50 : x
2. Step 2: Convert to fraction form
   26,099.50/42,022.50 = 42,022.50/x
3. Step 3: Cross multiply
   26,099.50x = 42,022.50 × 42,022.50
4. Step 4: Simplify right side
   26,099.50x = 1,765,890,506.25
5. Step 5: Solve for x
   x = 1,765,890,506.25/26,099.50
6. Step 6: Final answer
   x = 67,659.94