Finding the Third Proportional to 10,292.50 and 21,455.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,292.50 : 21,455.75 = 21,455.75 : x
2. Step 2: Convert to fraction form
   10,292.50/21,455.75 = 21,455.75/x
3. Step 3: Cross multiply
   10,292.50x = 21,455.75 × 21,455.75
4. Step 4: Simplify right side
   10,292.50x = 460,349,208.06
5. Step 5: Solve for x
   x = 460,349,208.06/10,292.50
6. Step 6: Final answer
   x = 44,726.67