Finding the Third Proportional to 9,582 and 14,801.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582 : 14,801.25 = 14,801.25 : x
2. Step 2: Convert to fraction form
   9,582/14,801.25 = 14,801.25/x
3. Step 3: Cross multiply
   9,582x = 14,801.25 × 14,801.25
4. Step 4: Simplify right side
   9,582x = 219,077,001.56
5. Step 5: Solve for x
   x = 219,077,001.56/9,582
6. Step 6: Final answer
   x = 22,863.39