Finding the Third Proportional to 31,186 and 67,964

Step by Step Solution

1. Step 1: Write the proportion equation
   31,186 : 67,964 = 67,964 : x
2. Step 2: Convert to fraction form
   31,186/67,964 = 67,964/x
3. Step 3: Cross multiply
   31,186x = 67,964 × 67,964
4. Step 4: Simplify right side
   31,186x = 4,619,105,296
5. Step 5: Solve for x
   x = 4,619,105,296/31,186
6. Step 6: Final answer
   x = 148,114.71