Finding the Third Proportional to 31,630 and 67,154

Step by Step Solution

1. Step 1: Write the proportion equation
   31,630 : 67,154 = 67,154 : x
2. Step 2: Convert to fraction form
   31,630/67,154 = 67,154/x
3. Step 3: Cross multiply
   31,630x = 67,154 × 67,154
4. Step 4: Simplify right side
   31,630x = 4,509,659,716
5. Step 5: Solve for x
   x = 4,509,659,716/31,630
6. Step 6: Final answer
   x = 142,575.39