Finding the Third Proportional to 10,429 and 16,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429 : 16,389.50 = 16,389.50 : x
2. Step 2: Convert to fraction form
   10,429/16,389.50 = 16,389.50/x
3. Step 3: Cross multiply
   10,429x = 16,389.50 × 16,389.50
4. Step 4: Simplify right side
   10,429x = 268,615,710.25
5. Step 5: Solve for x
   x = 268,615,710.25/10,429
6. Step 6: Final answer
   x = 25,756.61