Finding the Third Proportional to 22,582.50 and 33,547.25

Step by Step Solution

1. Step 1: Write the proportion equation
   22,582.50 : 33,547.25 = 33,547.25 : x
2. Step 2: Convert to fraction form
   22,582.50/33,547.25 = 33,547.25/x
3. Step 3: Cross multiply
   22,582.50x = 33,547.25 × 33,547.25
4. Step 4: Simplify right side
   22,582.50x = 1,125,417,982.56
5. Step 5: Solve for x
   x = 1,125,417,982.56/22,582.50
6. Step 6: Final answer
   x = 49,835.85