Finding the Third Proportional to 10,080 and 20,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080 : 20,669.50 = 20,669.50 : x
2. Step 2: Convert to fraction form
   10,080/20,669.50 = 20,669.50/x
3. Step 3: Cross multiply
   10,080x = 20,669.50 × 20,669.50
4. Step 4: Simplify right side
   10,080x = 427,228,230.25
5. Step 5: Solve for x
   x = 427,228,230.25/10,080
6. Step 6: Final answer
   x = 42,383.75