Finding the Third Proportional to 31,172 and 41,776

Step by Step Solution

1. Step 1: Write the proportion equation
   31,172 : 41,776 = 41,776 : x
2. Step 2: Convert to fraction form
   31,172/41,776 = 41,776/x
3. Step 3: Cross multiply
   31,172x = 41,776 × 41,776
4. Step 4: Simplify right side
   31,172x = 1,745,234,176
5. Step 5: Solve for x
   x = 1,745,234,176/31,172
6. Step 6: Final answer
   x = 55,987.24