Finding the Third Proportional to 23,504 and 41,776

Step by Step Solution

1. Step 1: Write the proportion equation
   23,504 : 41,776 = 41,776 : x
2. Step 2: Convert to fraction form
   23,504/41,776 = 41,776/x
3. Step 3: Cross multiply
   23,504x = 41,776 × 41,776
4. Step 4: Simplify right side
   23,504x = 1,745,234,176
5. Step 5: Solve for x
   x = 1,745,234,176/23,504
6. Step 6: Final answer
   x = 74,252.65