Finding the Third Proportional to 21,537 and 32,306.25

Step by Step Solution

1. Step 1: Write the proportion equation
   21,537 : 32,306.25 = 32,306.25 : x
2. Step 2: Convert to fraction form
   21,537/32,306.25 = 32,306.25/x
3. Step 3: Cross multiply
   21,537x = 32,306.25 × 32,306.25
4. Step 4: Simplify right side
   21,537x = 1,043,693,789.06
5. Step 5: Solve for x
   x = 1,043,693,789.06/21,537
6. Step 6: Final answer
   x = 48,460.50