Finding the Third Proportional to 26,633 and 58,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,633 : 58,277.50 = 58,277.50 : x
2. Step 2: Convert to fraction form
   26,633/58,277.50 = 58,277.50/x
3. Step 3: Cross multiply
   26,633x = 58,277.50 × 58,277.50
4. Step 4: Simplify right side
   26,633x = 3,396,267,006.25
5. Step 5: Solve for x
   x = 3,396,267,006.25/26,633
6. Step 6: Final answer
   x = 127,521.01