Finding the Third Proportional to 26,223.75 and 35,417.25

Step by Step Solution

1. Step 1: Write the proportion equation
   26,223.75 : 35,417.25 = 35,417.25 : x
2. Step 2: Convert to fraction form
   26,223.75/35,417.25 = 35,417.25/x
3. Step 3: Cross multiply
   26,223.75x = 35,417.25 × 35,417.25
4. Step 4: Simplify right side
   26,223.75x = 1,254,381,597.56
5. Step 5: Solve for x
   x = 1,254,381,597.56/26,223.75
6. Step 6: Final answer
   x = 47,833.80