Finding the Third Proportional to 31,635 and 64,179

Step by Step Solution

1. Step 1: Write the proportion equation
   31,635 : 64,179 = 64,179 : x
2. Step 2: Convert to fraction form
   31,635/64,179 = 64,179/x
3. Step 3: Cross multiply
   31,635x = 64,179 × 64,179
4. Step 4: Simplify right side
   31,635x = 4,118,944,041
5. Step 5: Solve for x
   x = 4,118,944,041/31,635
6. Step 6: Final answer
   x = 130,202.12