Finding the Third Proportional to 49,142 and 73,761

Step by Step Solution

1. Step 1: Write the proportion equation
   49,142 : 73,761 = 73,761 : x
2. Step 2: Convert to fraction form
   49,142/73,761 = 73,761/x
3. Step 3: Cross multiply
   49,142x = 73,761 × 73,761
4. Step 4: Simplify right side
   49,142x = 5,440,685,121
5. Step 5: Solve for x
   x = 5,440,685,121/49,142
6. Step 6: Final answer
   x = 110,713.55