Finding the Third Proportional to 26,601.75 and 57,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,601.75 : 57,123.50 = 57,123.50 : x
2. Step 2: Convert to fraction form
   26,601.75/57,123.50 = 57,123.50/x
3. Step 3: Cross multiply
   26,601.75x = 57,123.50 × 57,123.50
4. Step 4: Simplify right side
   26,601.75x = 3,263,094,252.25
5. Step 5: Solve for x
   x = 3,263,094,252.25/26,601.75
6. Step 6: Final answer
   x = 122,664.65