Finding the Third Proportional to 21,176 and 31,114

Step by Step Solution

1. Step 1: Write the proportion equation
   21,176 : 31,114 = 31,114 : x
2. Step 2: Convert to fraction form
   21,176/31,114 = 31,114/x
3. Step 3: Cross multiply
   21,176x = 31,114 × 31,114
4. Step 4: Simplify right side
   21,176x = 968,080,996
5. Step 5: Solve for x
   x = 968,080,996/21,176
6. Step 6: Final answer
   x = 45,715.95