Finding the Third Proportional to 10,005.75 and 15,494.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.75 : 15,494.63 = 15,494.63 : x
2. Step 2: Convert to fraction form
   10,005.75/15,494.63 = 15,494.63/x
3. Step 3: Cross multiply
   10,005.75x = 15,494.63 × 15,494.63
4. Step 4: Simplify right side
   10,005.75x = 240,083,403.89
5. Step 5: Solve for x
   x = 240,083,403.89/10,005.75
6. Step 6: Final answer
   x = 23,994.54