Finding the Third Proportional to 10,783.31 and 16,516.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783.31 : 16,516.27 = 16,516.27 : x
2. Step 2: Convert to fraction form
   10,783.31/16,516.27 = 16,516.27/x
3. Step 3: Cross multiply
   10,783.31x = 16,516.27 × 16,516.27
4. Step 4: Simplify right side
   10,783.31x = 272,787,030.20
5. Step 5: Solve for x
   x = 272,787,030.20/10,783.31
6. Step 6: Final answer
   x = 25,297.15