Finding the Third Proportional to 10,299 and 21,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,299 : 21,327.50 = 21,327.50 : x
2. Step 2: Convert to fraction form
   10,299/21,327.50 = 21,327.50/x
3. Step 3: Cross multiply
   10,299x = 21,327.50 × 21,327.50
4. Step 4: Simplify right side
   10,299x = 454,862,256.25
5. Step 5: Solve for x
   x = 454,862,256.25/10,299
6. Step 6: Final answer
   x = 44,165.67