Finding the Third Proportional to 26,510 and 57,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,510 : 57,684.50 = 57,684.50 : x
2. Step 2: Convert to fraction form
   26,510/57,684.50 = 57,684.50/x
3. Step 3: Cross multiply
   26,510x = 57,684.50 × 57,684.50
4. Step 4: Simplify right side
   26,510x = 3,327,501,540.25
5. Step 5: Solve for x
   x = 3,327,501,540.25/26,510
6. Step 6: Final answer
   x = 125,518.73