Finding the Third Proportional to 49,404 and 76,641

Step by Step Solution

1. Step 1: Write the proportion equation
   49,404 : 76,641 = 76,641 : x
2. Step 2: Convert to fraction form
   49,404/76,641 = 76,641/x
3. Step 3: Cross multiply
   49,404x = 76,641 × 76,641
4. Step 4: Simplify right side
   49,404x = 5,873,842,881
5. Step 5: Solve for x
   x = 5,873,842,881/49,404
6. Step 6: Final answer
   x = 118,894.07