Finding the Third Proportional to 31,314 and 64,698

Step by Step Solution

1. Step 1: Write the proportion equation
   31,314 : 64,698 = 64,698 : x
2. Step 2: Convert to fraction form
   31,314/64,698 = 64,698/x
3. Step 3: Cross multiply
   31,314x = 64,698 × 64,698
4. Step 4: Simplify right side
   31,314x = 4,185,831,204
5. Step 5: Solve for x
   x = 4,185,831,204/31,314
6. Step 6: Final answer
   x = 133,672.84