Finding the Third Proportional to 31,160 and 41,988

Step by Step Solution

1. Step 1: Write the proportion equation
   31,160 : 41,988 = 41,988 : x
2. Step 2: Convert to fraction form
   31,160/41,988 = 41,988/x
3. Step 3: Cross multiply
   31,160x = 41,988 × 41,988
4. Step 4: Simplify right side
   31,160x = 1,762,992,144
5. Step 5: Solve for x
   x = 1,762,992,144/31,160
6. Step 6: Final answer
   x = 56,578.70