Finding the Third Proportional to 10,823.81 and 22,498.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823.81 : 22,498.13 = 22,498.13 : x
2. Step 2: Convert to fraction form
   10,823.81/22,498.13 = 22,498.13/x
3. Step 3: Cross multiply
   10,823.81x = 22,498.13 × 22,498.13
4. Step 4: Simplify right side
   10,823.81x = 506,165,628.52
5. Step 5: Solve for x
   x = 506,165,628.52/10,823.81
6. Step 6: Final answer
   x = 46,764.08