Finding the Third Proportional to 31,768 and 52,937

Step by Step Solution

1. Step 1: Write the proportion equation
   31,768 : 52,937 = 52,937 : x
2. Step 2: Convert to fraction form
   31,768/52,937 = 52,937/x
3. Step 3: Cross multiply
   31,768x = 52,937 × 52,937
4. Step 4: Simplify right side
   31,768x = 2,802,325,969
5. Step 5: Solve for x
   x = 2,802,325,969/31,768
6. Step 6: Final answer
   x = 88,212.23