Finding the Third Proportional to 31,964 and 50,033

Step by Step Solution

1. Step 1: Write the proportion equation
   31,964 : 50,033 = 50,033 : x
2. Step 2: Convert to fraction form
   31,964/50,033 = 50,033/x
3. Step 3: Cross multiply
   31,964x = 50,033 × 50,033
4. Step 4: Simplify right side
   31,964x = 2,503,301,089
5. Step 5: Solve for x
   x = 2,503,301,089/31,964
6. Step 6: Final answer
   x = 78,316.26