Finding the Third Proportional to 31,629 and 64,167

Step by Step Solution

1. Step 1: Write the proportion equation
   31,629 : 64,167 = 64,167 : x
2. Step 2: Convert to fraction form
   31,629/64,167 = 64,167/x
3. Step 3: Cross multiply
   31,629x = 64,167 × 64,167
4. Step 4: Simplify right side
   31,629x = 4,117,403,889
5. Step 5: Solve for x
   x = 4,117,403,889/31,629
6. Step 6: Final answer
   x = 130,178.12