Finding the Third Proportional to 31,104 and 35,532

Step by Step Solution

1. Step 1: Write the proportion equation
   31,104 : 35,532 = 35,532 : x
2. Step 2: Convert to fraction form
   31,104/35,532 = 35,532/x
3. Step 3: Cross multiply
   31,104x = 35,532 × 35,532
4. Step 4: Simplify right side
   31,104x = 1,262,523,024
5. Step 5: Solve for x
   x = 1,262,523,024/31,104
6. Step 6: Final answer
   x = 40,590.38