Finding the Third Proportional to 31,630 and 64,170

Step by Step Solution

1. Step 1: Write the proportion equation
   31,630 : 64,170 = 64,170 : x
2. Step 2: Convert to fraction form
   31,630/64,170 = 64,170/x
3. Step 3: Cross multiply
   31,630x = 64,170 × 64,170
4. Step 4: Simplify right side
   31,630x = 4,117,788,900
5. Step 5: Solve for x
   x = 4,117,788,900/31,630
6. Step 6: Final answer
   x = 130,186.18