Finding the Third Proportional to 10,007.50 and 21,871

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.50 : 21,871 = 21,871 : x
2. Step 2: Convert to fraction form
   10,007.50/21,871 = 21,871/x
3. Step 3: Cross multiply
   10,007.50x = 21,871 × 21,871
4. Step 4: Simplify right side
   10,007.50x = 478,340,641
5. Step 5: Solve for x
   x = 478,340,641/10,007.50
6. Step 6: Final answer
   x = 47,798.22