Finding the Third Proportional to 49,902 and 72,991

Step by Step Solution

1. Step 1: Write the proportion equation
   49,902 : 72,991 = 72,991 : x
2. Step 2: Convert to fraction form
   49,902/72,991 = 72,991/x
3. Step 3: Cross multiply
   49,902x = 72,991 × 72,991
4. Step 4: Simplify right side
   49,902x = 5,327,686,081
5. Step 5: Solve for x
   x = 5,327,686,081/49,902
6. Step 6: Final answer
   x = 106,762.98