Finding the Third Proportional to 5,311 and 10,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,311 : 10,852.50 = 10,852.50 : x
2. Step 2: Convert to fraction form
   5,311/10,852.50 = 10,852.50/x
3. Step 3: Cross multiply
   5,311x = 10,852.50 × 10,852.50
4. Step 4: Simplify right side
   5,311x = 117,776,756.25
5. Step 5: Solve for x
   x = 117,776,756.25/5,311
6. Step 6: Final answer
   x = 22,176.00