Finding the Third Proportional to 24,090 and 35,406

Step by Step Solution

1. Step 1: Write the proportion equation
   24,090 : 35,406 = 35,406 : x
2. Step 2: Convert to fraction form
   24,090/35,406 = 35,406/x
3. Step 3: Cross multiply
   24,090x = 35,406 × 35,406
4. Step 4: Simplify right side
   24,090x = 1,253,584,836
5. Step 5: Solve for x
   x = 1,253,584,836/24,090
6. Step 6: Final answer
   x = 52,037.56