Finding the Third Proportional to 26,090 and 34,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,090 : 34,952.50 = 34,952.50 : x
2. Step 2: Convert to fraction form
   26,090/34,952.50 = 34,952.50/x
3. Step 3: Cross multiply
   26,090x = 34,952.50 × 34,952.50
4. Step 4: Simplify right side
   26,090x = 1,221,677,256.25
5. Step 5: Solve for x
   x = 1,221,677,256.25/26,090
6. Step 6: Final answer
   x = 46,825.50