Finding the Third Proportional to 26,413 and 58,010

Step by Step Solution

1. Step 1: Write the proportion equation
   26,413 : 58,010 = 58,010 : x
2. Step 2: Convert to fraction form
   26,413/58,010 = 58,010/x
3. Step 3: Cross multiply
   26,413x = 58,010 × 58,010
4. Step 4: Simplify right side
   26,413x = 3,365,160,100
5. Step 5: Solve for x
   x = 3,365,160,100/26,413
6. Step 6: Final answer
   x = 127,405.45