Finding the Third Proportional to 24,394 and 35,662

Step by Step Solution

1. Step 1: Write the proportion equation
   24,394 : 35,662 = 35,662 : x
2. Step 2: Convert to fraction form
   24,394/35,662 = 35,662/x
3. Step 3: Cross multiply
   24,394x = 35,662 × 35,662
4. Step 4: Simplify right side
   24,394x = 1,271,778,244
5. Step 5: Solve for x
   x = 1,271,778,244/24,394
6. Step 6: Final answer
   x = 52,134.88