Finding the Third Proportional to 31,564.50 and 68,049

Step by Step Solution

1. Step 1: Write the proportion equation
   31,564.50 : 68,049 = 68,049 : x
2. Step 2: Convert to fraction form
   31,564.50/68,049 = 68,049/x
3. Step 3: Cross multiply
   31,564.50x = 68,049 × 68,049
4. Step 4: Simplify right side
   31,564.50x = 4,630,666,401
5. Step 5: Solve for x
   x = 4,630,666,401/31,564.50
6. Step 6: Final answer
   x = 146,704.89