Finding the Third Proportional to 26,526 and 58,155

Step by Step Solution

1. Step 1: Write the proportion equation
   26,526 : 58,155 = 58,155 : x
2. Step 2: Convert to fraction form
   26,526/58,155 = 58,155/x
3. Step 3: Cross multiply
   26,526x = 58,155 × 58,155
4. Step 4: Simplify right side
   26,526x = 3,382,004,025
5. Step 5: Solve for x
   x = 3,382,004,025/26,526
6. Step 6: Final answer
   x = 127,497.70