Finding the Third Proportional to 26,409 and 58,002

Step by Step Solution

1. Step 1: Write the proportion equation
   26,409 : 58,002 = 58,002 : x
2. Step 2: Convert to fraction form
   26,409/58,002 = 58,002/x
3. Step 3: Cross multiply
   26,409x = 58,002 × 58,002
4. Step 4: Simplify right side
   26,409x = 3,364,232,004
5. Step 5: Solve for x
   x = 3,364,232,004/26,409
6. Step 6: Final answer
   x = 127,389.60