Finding the Third Proportional to 49,852.13 and 76,626.56

Step by Step Solution

1. Step 1: Write the proportion equation
   49,852.13 : 76,626.56 = 76,626.56 : x
2. Step 2: Convert to fraction form
   49,852.13/76,626.56 = 76,626.56/x
3. Step 3: Cross multiply
   49,852.13x = 76,626.56 × 76,626.56
4. Step 4: Simplify right side
   49,852.13x = 5,871,630,080.57
5. Step 5: Solve for x
   x = 5,871,630,080.57/49,852.13
6. Step 6: Final answer
   x = 117,780.94