Finding the Third Proportional to 10,406.81 and 15,870.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.81 : 15,870.94 = 15,870.94 : x
2. Step 2: Convert to fraction form
   10,406.81/15,870.94 = 15,870.94/x
3. Step 3: Cross multiply
   10,406.81x = 15,870.94 × 15,870.94
4. Step 4: Simplify right side
   10,406.81x = 251,886,657.13
5. Step 5: Solve for x
   x = 251,886,657.13/10,406.81
6. Step 6: Final answer
   x = 24,204.02