Finding the Third Proportional to 26,606.25 and 39,678.75

Step by Step Solution

1. Step 1: Write the proportion equation
   26,606.25 : 39,678.75 = 39,678.75 : x
2. Step 2: Convert to fraction form
   26,606.25/39,678.75 = 39,678.75/x
3. Step 3: Cross multiply
   26,606.25x = 39,678.75 × 39,678.75
4. Step 4: Simplify right side
   26,606.25x = 1,574,403,201.56
5. Step 5: Solve for x
   x = 1,574,403,201.56/26,606.25
6. Step 6: Final answer
   x = 59,174.19