Finding the Third Proportional to 23,588 and 34,410

Step by Step Solution

1. Step 1: Write the proportion equation
   23,588 : 34,410 = 34,410 : x
2. Step 2: Convert to fraction form
   23,588/34,410 = 34,410/x
3. Step 3: Cross multiply
   23,588x = 34,410 × 34,410
4. Step 4: Simplify right side
   23,588x = 1,184,048,100
5. Step 5: Solve for x
   x = 1,184,048,100/23,588
6. Step 6: Final answer
   x = 50,197.05