Finding the Third Proportional to 31,099 and 67,111

Step by Step Solution

1. Step 1: Write the proportion equation
   31,099 : 67,111 = 67,111 : x
2. Step 2: Convert to fraction form
   31,099/67,111 = 67,111/x
3. Step 3: Cross multiply
   31,099x = 67,111 × 67,111
4. Step 4: Simplify right side
   31,099x = 4,503,886,321
5. Step 5: Solve for x
   x = 4,503,886,321/31,099
6. Step 6: Final answer
   x = 144,824.15