Finding the Third Proportional to 33,980 and 69,470

Step by Step Solution

1. Step 1: Write the proportion equation
   33,980 : 69,470 = 69,470 : x
2. Step 2: Convert to fraction form
   33,980/69,470 = 69,470/x
3. Step 3: Cross multiply
   33,980x = 69,470 × 69,470
4. Step 4: Simplify right side
   33,980x = 4,826,080,900
5. Step 5: Solve for x
   x = 4,826,080,900/33,980
6. Step 6: Final answer
   x = 142,027.10