Finding the Third Proportional to 31,914 and 49,632.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,914 : 49,632.75 = 49,632.75 : x
2. Step 2: Convert to fraction form
   31,914/49,632.75 = 49,632.75/x
3. Step 3: Cross multiply
   31,914x = 49,632.75 × 49,632.75
4. Step 4: Simplify right side
   31,914x = 2,463,409,872.56
5. Step 5: Solve for x
   x = 2,463,409,872.56/31,914
6. Step 6: Final answer
   x = 77,189.00