Finding the Third Proportional to 10,026.28 and 21,821.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.28 : 21,821.91 = 21,821.91 : x
2. Step 2: Convert to fraction form
   10,026.28/21,821.91 = 21,821.91/x
3. Step 3: Cross multiply
   10,026.28x = 21,821.91 × 21,821.91
4. Step 4: Simplify right side
   10,026.28x = 476,195,592.38
5. Step 5: Solve for x
   x = 476,195,592.38/10,026.28
6. Step 6: Final answer
   x = 47,494.74