Finding the Third Proportional to 31,926 and 51,002

Step by Step Solution

1. Step 1: Write the proportion equation
   31,926 : 51,002 = 51,002 : x
2. Step 2: Convert to fraction form
   31,926/51,002 = 51,002/x
3. Step 3: Cross multiply
   31,926x = 51,002 × 51,002
4. Step 4: Simplify right side
   31,926x = 2,601,204,004
5. Step 5: Solve for x
   x = 2,601,204,004/31,926
6. Step 6: Final answer
   x = 81,476.04