Finding the Third Proportional to 49,822 and 72,817

Step by Step Solution

1. Step 1: Write the proportion equation
   49,822 : 72,817 = 72,817 : x
2. Step 2: Convert to fraction form
   49,822/72,817 = 72,817/x
3. Step 3: Cross multiply
   49,822x = 72,817 × 72,817
4. Step 4: Simplify right side
   49,822x = 5,302,315,489
5. Step 5: Solve for x
   x = 5,302,315,489/49,822
6. Step 6: Final answer
   x = 106,425.18