Finding the Third Proportional to 37,258 and 72,647

Step by Step Solution

1. Step 1: Write the proportion equation
   37,258 : 72,647 = 72,647 : x
2. Step 2: Convert to fraction form
   37,258/72,647 = 72,647/x
3. Step 3: Cross multiply
   37,258x = 72,647 × 72,647
4. Step 4: Simplify right side
   37,258x = 5,277,586,609
5. Step 5: Solve for x
   x = 5,277,586,609/37,258
6. Step 6: Final answer
   x = 141,649.76