Finding the Third Proportional to 10,128.50 and 21,877

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128.50 : 21,877 = 21,877 : x
2. Step 2: Convert to fraction form
   10,128.50/21,877 = 21,877/x
3. Step 3: Cross multiply
   10,128.50x = 21,877 × 21,877
4. Step 4: Simplify right side
   10,128.50x = 478,603,129
5. Step 5: Solve for x
   x = 478,603,129/10,128.50
6. Step 6: Final answer
   x = 47,253.11