Finding the Third Proportional to 5,181 and 10,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,181 : 10,582.50 = 10,582.50 : x
2. Step 2: Convert to fraction form
   5,181/10,582.50 = 10,582.50/x
3. Step 3: Cross multiply
   5,181x = 10,582.50 × 10,582.50
4. Step 4: Simplify right side
   5,181x = 111,989,306.25
5. Step 5: Solve for x
   x = 111,989,306.25/5,181
6. Step 6: Final answer
   x = 21,615.38