Finding the Third Proportional to 49,827 and 72,822

Step by Step Solution

1. Step 1: Write the proportion equation
   49,827 : 72,822 = 72,822 : x
2. Step 2: Convert to fraction form
   49,827/72,822 = 72,822/x
3. Step 3: Cross multiply
   49,827x = 72,822 × 72,822
4. Step 4: Simplify right side
   49,827x = 5,303,043,684
5. Step 5: Solve for x
   x = 5,303,043,684/49,827
6. Step 6: Final answer
   x = 106,429.12