Finding the Third Proportional to 12,384 and 21,863.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,384 : 21,863.25 = 21,863.25 : x
2. Step 2: Convert to fraction form
   12,384/21,863.25 = 21,863.25/x
3. Step 3: Cross multiply
   12,384x = 21,863.25 × 21,863.25
4. Step 4: Simplify right side
   12,384x = 478,001,700.56
5. Step 5: Solve for x
   x = 478,001,700.56/12,384
6. Step 6: Final answer
   x = 38,598.33