Finding the Third Proportional to 31,899 and 69,054

Step by Step Solution

1. Step 1: Write the proportion equation
   31,899 : 69,054 = 69,054 : x
2. Step 2: Convert to fraction form
   31,899/69,054 = 69,054/x
3. Step 3: Cross multiply
   31,899x = 69,054 × 69,054
4. Step 4: Simplify right side
   31,899x = 4,768,454,916
5. Step 5: Solve for x
   x = 4,768,454,916/31,899
6. Step 6: Final answer
   x = 149,486.03