Finding the Third Proportional to 37,274 and 74,518

Step by Step Solution

1. Step 1: Write the proportion equation
   37,274 : 74,518 = 74,518 : x
2. Step 2: Convert to fraction form
   37,274/74,518 = 74,518/x
3. Step 3: Cross multiply
   37,274x = 74,518 × 74,518
4. Step 4: Simplify right side
   37,274x = 5,552,932,324
5. Step 5: Solve for x
   x = 5,552,932,324/37,274
6. Step 6: Final answer
   x = 148,976.02