Finding the Third Proportional to 31,018 and 64,658

Step by Step Solution

1. Step 1: Write the proportion equation
   31,018 : 64,658 = 64,658 : x
2. Step 2: Convert to fraction form
   31,018/64,658 = 64,658/x
3. Step 3: Cross multiply
   31,018x = 64,658 × 64,658
4. Step 4: Simplify right side
   31,018x = 4,180,656,964
5. Step 5: Solve for x
   x = 4,180,656,964/31,018
6. Step 6: Final answer
   x = 134,781.64