Finding the Third Proportional to 5,677.50 and 12,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677.50 : 12,031.50 = 12,031.50 : x
2. Step 2: Convert to fraction form
   5,677.50/12,031.50 = 12,031.50/x
3. Step 3: Cross multiply
   5,677.50x = 12,031.50 × 12,031.50
4. Step 4: Simplify right side
   5,677.50x = 144,756,992.25
5. Step 5: Solve for x
   x = 144,756,992.25/5,677.50
6. Step 6: Final answer
   x = 25,496.61