Finding the Third Proportional to 21,540 and 45,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,540 : 45,637.50 = 45,637.50 : x
2. Step 2: Convert to fraction form
   21,540/45,637.50 = 45,637.50/x
3. Step 3: Cross multiply
   21,540x = 45,637.50 × 45,637.50
4. Step 4: Simplify right side
   21,540x = 2,082,781,406.25
5. Step 5: Solve for x
   x = 2,082,781,406.25/21,540
6. Step 6: Final answer
   x = 96,693.66