Finding the Third Proportional to 49,851.50 and 76,624.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,851.50 : 76,624.75 = 76,624.75 : x
2. Step 2: Convert to fraction form
   49,851.50/76,624.75 = 76,624.75/x
3. Step 3: Cross multiply
   49,851.50x = 76,624.75 × 76,624.75
4. Step 4: Simplify right side
   49,851.50x = 5,871,352,312.56
5. Step 5: Solve for x
   x = 5,871,352,312.56/49,851.50
6. Step 6: Final answer
   x = 117,776.84