Finding the Third Proportional to 10,478.81 and 15,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.81 : 15,853.50 = 15,853.50 : x
2. Step 2: Convert to fraction form
   10,478.81/15,853.50 = 15,853.50/x
3. Step 3: Cross multiply
   10,478.81x = 15,853.50 × 15,853.50
4. Step 4: Simplify right side
   10,478.81x = 251,333,462.25
5. Step 5: Solve for x
   x = 251,333,462.25/10,478.81
6. Step 6: Final answer
   x = 23,984.92