Finding the Third Proportional to 31,164 and 69,240

Step by Step Solution

1. Step 1: Write the proportion equation
   31,164 : 69,240 = 69,240 : x
2. Step 2: Convert to fraction form
   31,164/69,240 = 69,240/x
3. Step 3: Cross multiply
   31,164x = 69,240 × 69,240
4. Step 4: Simplify right side
   31,164x = 4,794,177,600
5. Step 5: Solve for x
   x = 4,794,177,600/31,164
6. Step 6: Final answer
   x = 153,837.04