Finding the Third Proportional to 10,076 and 20,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076 : 20,661.50 = 20,661.50 : x
2. Step 2: Convert to fraction form
   10,076/20,661.50 = 20,661.50/x
3. Step 3: Cross multiply
   10,076x = 20,661.50 × 20,661.50
4. Step 4: Simplify right side
   10,076x = 426,897,582.25
5. Step 5: Solve for x
   x = 426,897,582.25/10,076
6. Step 6: Final answer
   x = 42,367.76