Finding the Third Proportional to 5,895.50 and 12,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,895.50 : 12,732.50 = 12,732.50 : x
2. Step 2: Convert to fraction form
   5,895.50/12,732.50 = 12,732.50/x
3. Step 3: Cross multiply
   5,895.50x = 12,732.50 × 12,732.50
4. Step 4: Simplify right side
   5,895.50x = 162,116,556.25
5. Step 5: Solve for x
   x = 162,116,556.25/5,895.50
6. Step 6: Final answer
   x = 27,498.36