Finding the Third Proportional to 10,624.50 and 21,921.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624.50 : 21,921.75 = 21,921.75 : x
2. Step 2: Convert to fraction form
   10,624.50/21,921.75 = 21,921.75/x
3. Step 3: Cross multiply
   10,624.50x = 21,921.75 × 21,921.75
4. Step 4: Simplify right side
   10,624.50x = 480,563,123.06
5. Step 5: Solve for x
   x = 480,563,123.06/10,624.50
6. Step 6: Final answer
   x = 45,231.60