Finding the Third Proportional to 16,742 and 22,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,742 : 22,956.50 = 22,956.50 : x
2. Step 2: Convert to fraction form
   16,742/22,956.50 = 22,956.50/x
3. Step 3: Cross multiply
   16,742x = 22,956.50 × 22,956.50
4. Step 4: Simplify right side
   16,742x = 527,000,892.25
5. Step 5: Solve for x
   x = 527,000,892.25/16,742
6. Step 6: Final answer
   x = 31,477.77