Finding the Third Proportional to 11,582 and 23,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,582 : 23,982.50 = 23,982.50 : x
2. Step 2: Convert to fraction form
   11,582/23,982.50 = 23,982.50/x
3. Step 3: Cross multiply
   11,582x = 23,982.50 × 23,982.50
4. Step 4: Simplify right side
   11,582x = 575,160,306.25
5. Step 5: Solve for x
   x = 575,160,306.25/11,582
6. Step 6: Final answer
   x = 49,659.84