Finding the Third Proportional to 10,256.25 and 22,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.25 : 22,426.50 = 22,426.50 : x
2. Step 2: Convert to fraction form
   10,256.25/22,426.50 = 22,426.50/x
3. Step 3: Cross multiply
   10,256.25x = 22,426.50 × 22,426.50
4. Step 4: Simplify right side
   10,256.25x = 502,947,902.25
5. Step 5: Solve for x
   x = 502,947,902.25/10,256.25
6. Step 6: Final answer
   x = 49,038.19