Finding the Third Proportional to 10,783.25 and 16,462.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783.25 : 16,462.88 = 16,462.88 : x
2. Step 2: Convert to fraction form
   10,783.25/16,462.88 = 16,462.88/x
3. Step 3: Cross multiply
   10,783.25x = 16,462.88 × 16,462.88
4. Step 4: Simplify right side
   10,783.25x = 271,026,253.27
5. Step 5: Solve for x
   x = 271,026,253.27/10,783.25
6. Step 6: Final answer
   x = 25,134.00