Finding the Third Proportional to 32,822 and 49,223

Step by Step Solution

1. Step 1: Write the proportion equation
   32,822 : 49,223 = 49,223 : x
2. Step 2: Convert to fraction form
   32,822/49,223 = 49,223/x
3. Step 3: Cross multiply
   32,822x = 49,223 × 49,223
4. Step 4: Simplify right side
   32,822x = 2,422,903,729
5. Step 5: Solve for x
   x = 2,422,903,729/32,822
6. Step 6: Final answer
   x = 73,819.50