Finding the Third Proportional to 10,840.50 and 22,541.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,840.50 : 22,541.63 = 22,541.63 : x
2. Step 2: Convert to fraction form
   10,840.50/22,541.63 = 22,541.63/x
3. Step 3: Cross multiply
   10,840.50x = 22,541.63 × 22,541.63
4. Step 4: Simplify right side
   10,840.50x = 508,124,857.64
5. Step 5: Solve for x
   x = 508,124,857.64/10,840.50
6. Step 6: Final answer
   x = 46,872.82