Finding the Third Proportional to 26,965 and 59,114

Step by Step Solution

1. Step 1: Write the proportion equation
   26,965 : 59,114 = 59,114 : x
2. Step 2: Convert to fraction form
   26,965/59,114 = 59,114/x
3. Step 3: Cross multiply
   26,965x = 59,114 × 59,114
4. Step 4: Simplify right side
   26,965x = 3,494,464,996
5. Step 5: Solve for x
   x = 3,494,464,996/26,965
6. Step 6: Final answer
   x = 129,592.62