Finding the Third Proportional to 21,540 and 47,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,540 : 47,323.50 = 47,323.50 : x
2. Step 2: Convert to fraction form
   21,540/47,323.50 = 47,323.50/x
3. Step 3: Cross multiply
   21,540x = 47,323.50 × 47,323.50
4. Step 4: Simplify right side
   21,540x = 2,239,513,652.25
5. Step 5: Solve for x
   x = 2,239,513,652.25/21,540
6. Step 6: Final answer
   x = 103,969.99