Finding the Third Proportional to 31,146 and 64,508

Step by Step Solution

1. Step 1: Write the proportion equation
   31,146 : 64,508 = 64,508 : x
2. Step 2: Convert to fraction form
   31,146/64,508 = 64,508/x
3. Step 3: Cross multiply
   31,146x = 64,508 × 64,508
4. Step 4: Simplify right side
   31,146x = 4,161,282,064
5. Step 5: Solve for x
   x = 4,161,282,064/31,146
6. Step 6: Final answer
   x = 133,605.67