Finding the Third Proportional to 5,101.50 and 10,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,101.50 : 10,816.50 = 10,816.50 : x
2. Step 2: Convert to fraction form
   5,101.50/10,816.50 = 10,816.50/x
3. Step 3: Cross multiply
   5,101.50x = 10,816.50 × 10,816.50
4. Step 4: Simplify right side
   5,101.50x = 116,996,672.25
5. Step 5: Solve for x
   x = 116,996,672.25/5,101.50
6. Step 6: Final answer
   x = 22,933.78