Finding the Third Proportional to 35,109 and 61,470

Step by Step Solution

1. Step 1: Write the proportion equation
   35,109 : 61,470 = 61,470 : x
2. Step 2: Convert to fraction form
   35,109/61,470 = 61,470/x
3. Step 3: Cross multiply
   35,109x = 61,470 × 61,470
4. Step 4: Simplify right side
   35,109x = 3,778,560,900
5. Step 5: Solve for x
   x = 3,778,560,900/35,109
6. Step 6: Final answer
   x = 107,623.71