Finding the Third Proportional to 21,808 and 47,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,808 : 47,103.50 = 47,103.50 : x
2. Step 2: Convert to fraction form
   21,808/47,103.50 = 47,103.50/x
3. Step 3: Cross multiply
   21,808x = 47,103.50 × 47,103.50
4. Step 4: Simplify right side
   21,808x = 2,218,739,712.25
5. Step 5: Solve for x
   x = 2,218,739,712.25/21,808
6. Step 6: Final answer
   x = 101,739.72