Finding the Third Proportional to 31,160 and 35,588

Step by Step Solution

1. Step 1: Write the proportion equation
   31,160 : 35,588 = 35,588 : x
2. Step 2: Convert to fraction form
   31,160/35,588 = 35,588/x
3. Step 3: Cross multiply
   31,160x = 35,588 × 35,588
4. Step 4: Simplify right side
   31,160x = 1,266,505,744
5. Step 5: Solve for x
   x = 1,266,505,744/31,160
6. Step 6: Final answer
   x = 40,645.24