Finding the Third Proportional to 10,298.81 and 15,407.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.81 : 15,407.72 = 15,407.72 : x
2. Step 2: Convert to fraction form
   10,298.81/15,407.72 = 15,407.72/x
3. Step 3: Cross multiply
   10,298.81x = 15,407.72 × 15,407.72
4. Step 4: Simplify right side
   10,298.81x = 237,397,797.08
5. Step 5: Solve for x
   x = 237,397,797.08/10,298.81
6. Step 6: Final answer
   x = 23,050.99