Finding the Third Proportional to 26,082 and 42,175.69

Step by Step Solution

1. Step 1: Write the proportion equation
   26,082 : 42,175.69 = 42,175.69 : x
2. Step 2: Convert to fraction form
   26,082/42,175.69 = 42,175.69/x
3. Step 3: Cross multiply
   26,082x = 42,175.69 × 42,175.69
4. Step 4: Simplify right side
   26,082x = 1,778,788,616.10
5. Step 5: Solve for x
   x = 1,778,788,616.10/26,082
6. Step 6: Final answer
   x = 68,199.85