Finding the Third Proportional to 31,614 and 64,137

Step by Step Solution

1. Step 1: Write the proportion equation
   31,614 : 64,137 = 64,137 : x
2. Step 2: Convert to fraction form
   31,614/64,137 = 64,137/x
3. Step 3: Cross multiply
   31,614x = 64,137 × 64,137
4. Step 4: Simplify right side
   31,614x = 4,113,554,769
5. Step 5: Solve for x
   x = 4,113,554,769/31,614
6. Step 6: Final answer
   x = 130,118.14