Finding the Third Proportional to 26,424 and 58,240

Step by Step Solution

1. Step 1: Write the proportion equation
   26,424 : 58,240 = 58,240 : x
2. Step 2: Convert to fraction form
   26,424/58,240 = 58,240/x
3. Step 3: Cross multiply
   26,424x = 58,240 × 58,240
4. Step 4: Simplify right side
   26,424x = 3,391,897,600
5. Step 5: Solve for x
   x = 3,391,897,600/26,424
6. Step 6: Final answer
   x = 128,364.27