Finding the Third Proportional to 21,174.75 and 47,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,174.75 : 47,884.50 = 47,884.50 : x
2. Step 2: Convert to fraction form
   21,174.75/47,884.50 = 47,884.50/x
3. Step 3: Cross multiply
   21,174.75x = 47,884.50 × 47,884.50
4. Step 4: Simplify right side
   21,174.75x = 2,292,925,340.25
5. Step 5: Solve for x
   x = 2,292,925,340.25/21,174.75
6. Step 6: Final answer
   x = 108,285.83