Finding the Third Proportional to 26,097 and 34,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,097 : 34,957.50 = 34,957.50 : x
2. Step 2: Convert to fraction form
   26,097/34,957.50 = 34,957.50/x
3. Step 3: Cross multiply
   26,097x = 34,957.50 × 34,957.50
4. Step 4: Simplify right side
   26,097x = 1,222,026,806.25
5. Step 5: Solve for x
   x = 1,222,026,806.25/26,097
6. Step 6: Final answer
   x = 46,826.33