Finding the Third Proportional to 31,097 and 67,106

Step by Step Solution

1. Step 1: Write the proportion equation
   31,097 : 67,106 = 67,106 : x
2. Step 2: Convert to fraction form
   31,097/67,106 = 67,106/x
3. Step 3: Cross multiply
   31,097x = 67,106 × 67,106
4. Step 4: Simplify right side
   31,097x = 4,503,215,236
5. Step 5: Solve for x
   x = 4,503,215,236/31,097
6. Step 6: Final answer
   x = 144,811.89