Finding the Third Proportional to 49,854 and 76,629

Step by Step Solution

1. Step 1: Write the proportion equation
   49,854 : 76,629 = 76,629 : x
2. Step 2: Convert to fraction form
   49,854/76,629 = 76,629/x
3. Step 3: Cross multiply
   49,854x = 76,629 × 76,629
4. Step 4: Simplify right side
   49,854x = 5,872,003,641
5. Step 5: Solve for x
   x = 5,872,003,641/49,854
6. Step 6: Final answer
   x = 117,784.00