Finding the Third Proportional to 31,102 and 36,158

Step by Step Solution

1. Step 1: Write the proportion equation
   31,102 : 36,158 = 36,158 : x
2. Step 2: Convert to fraction form
   31,102/36,158 = 36,158/x
3. Step 3: Cross multiply
   31,102x = 36,158 × 36,158
4. Step 4: Simplify right side
   31,102x = 1,307,400,964
5. Step 5: Solve for x
   x = 1,307,400,964/31,102
6. Step 6: Final answer
   x = 42,035.91