Finding the Third Proportional to 31,931 and 69,693

Step by Step Solution

1. Step 1: Write the proportion equation
   31,931 : 69,693 = 69,693 : x
2. Step 2: Convert to fraction form
   31,931/69,693 = 69,693/x
3. Step 3: Cross multiply
   31,931x = 69,693 × 69,693
4. Step 4: Simplify right side
   31,931x = 4,857,114,249
5. Step 5: Solve for x
   x = 4,857,114,249/31,931
6. Step 6: Final answer
   x = 152,112.81