Finding the Third Proportional to 21,876 and 47,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,876 : 47,761.50 = 47,761.50 : x
2. Step 2: Convert to fraction form
   21,876/47,761.50 = 47,761.50/x
3. Step 3: Cross multiply
   21,876x = 47,761.50 × 47,761.50
4. Step 4: Simplify right side
   21,876x = 2,281,160,882.25
5. Step 5: Solve for x
   x = 2,281,160,882.25/21,876
6. Step 6: Final answer
   x = 104,276.87