Finding the Third Proportional to 31,468.50 and 68,742

Step by Step Solution

1. Step 1: Write the proportion equation
   31,468.50 : 68,742 = 68,742 : x
2. Step 2: Convert to fraction form
   31,468.50/68,742 = 68,742/x
3. Step 3: Cross multiply
   31,468.50x = 68,742 × 68,742
4. Step 4: Simplify right side
   31,468.50x = 4,725,462,564
5. Step 5: Solve for x
   x = 4,725,462,564/31,468.50
6. Step 6: Final answer
   x = 150,164.85