Finding the Third Proportional to 10,480.31 and 15,578.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,480.31 : 15,578.06 = 15,578.06 : x
2. Step 2: Convert to fraction form
   10,480.31/15,578.06 = 15,578.06/x
3. Step 3: Cross multiply
   10,480.31x = 15,578.06 × 15,578.06
4. Step 4: Simplify right side
   10,480.31x = 242,676,031.25
5. Step 5: Solve for x
   x = 242,676,031.25/10,480.31
6. Step 6: Final answer
   x = 23,155.42