Finding the Third Proportional to 31,984 and 50,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,984 : 50,171.50 = 50,171.50 : x
2. Step 2: Convert to fraction form
   31,984/50,171.50 = 50,171.50/x
3. Step 3: Cross multiply
   31,984x = 50,171.50 × 50,171.50
4. Step 4: Simplify right side
   31,984x = 2,517,179,412.25
5. Step 5: Solve for x
   x = 2,517,179,412.25/31,984
6. Step 6: Final answer
   x = 78,701.21