Finding the Third Proportional to 26,410 and 58,004

Step by Step Solution

1. Step 1: Write the proportion equation
   26,410 : 58,004 = 58,004 : x
2. Step 2: Convert to fraction form
   26,410/58,004 = 58,004/x
3. Step 3: Cross multiply
   26,410x = 58,004 × 58,004
4. Step 4: Simplify right side
   26,410x = 3,364,464,016
5. Step 5: Solve for x
   x = 3,364,464,016/26,410
6. Step 6: Final answer
   x = 127,393.56