Finding the Third Proportional to 31,634 and 64,178

Step by Step Solution

1. Step 1: Write the proportion equation
   31,634 : 64,178 = 64,178 : x
2. Step 2: Convert to fraction form
   31,634/64,178 = 64,178/x
3. Step 3: Cross multiply
   31,634x = 64,178 × 64,178
4. Step 4: Simplify right side
   31,634x = 4,118,815,684
5. Step 5: Solve for x
   x = 4,118,815,684/31,634
6. Step 6: Final answer
   x = 130,202.18