Finding the Third Proportional to 16,964 and 25,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,964 : 25,631.50 = 25,631.50 : x
2. Step 2: Convert to fraction form
   16,964/25,631.50 = 25,631.50/x
3. Step 3: Cross multiply
   16,964x = 25,631.50 × 25,631.50
4. Step 4: Simplify right side
   16,964x = 656,973,792.25
5. Step 5: Solve for x
   x = 656,973,792.25/16,964
6. Step 6: Final answer
   x = 38,727.53