Finding the Third Proportional to 31,716 and 50,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,716 : 50,206.50 = 50,206.50 : x
2. Step 2: Convert to fraction form
   31,716/50,206.50 = 50,206.50/x
3. Step 3: Cross multiply
   31,716x = 50,206.50 × 50,206.50
4. Step 4: Simplify right side
   31,716x = 2,520,692,642.25
5. Step 5: Solve for x
   x = 2,520,692,642.25/31,716
6. Step 6: Final answer
   x = 79,477.00