Finding the Third Proportional to 23,788 and 35,502

Step by Step Solution

1. Step 1: Write the proportion equation
   23,788 : 35,502 = 35,502 : x
2. Step 2: Convert to fraction form
   23,788/35,502 = 35,502/x
3. Step 3: Cross multiply
   23,788x = 35,502 × 35,502
4. Step 4: Simplify right side
   23,788x = 1,260,392,004
5. Step 5: Solve for x
   x = 1,260,392,004/23,788
6. Step 6: Final answer
   x = 52,984.36