Finding the Third Proportional to 10,694.81 and 16,459.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,694.81 : 16,459.88 = 16,459.88 : x
2. Step 2: Convert to fraction form
   10,694.81/16,459.88 = 16,459.88/x
3. Step 3: Cross multiply
   10,694.81x = 16,459.88 × 16,459.88
4. Step 4: Simplify right side
   10,694.81x = 270,927,485.02
5. Step 5: Solve for x
   x = 270,927,485.02/10,694.81
6. Step 6: Final answer
   x = 25,332.61