Finding the Third Proportional to 31,377 and 69,072

Step by Step Solution

1. Step 1: Write the proportion equation
   31,377 : 69,072 = 69,072 : x
2. Step 2: Convert to fraction form
   31,377/69,072 = 69,072/x
3. Step 3: Cross multiply
   31,377x = 69,072 × 69,072
4. Step 4: Simplify right side
   31,377x = 4,770,941,184
5. Step 5: Solve for x
   x = 4,770,941,184/31,377
6. Step 6: Final answer
   x = 152,052.18