Finding the Third Proportional to 37,884 and 57,980

Step by Step Solution

1. Step 1: Write the proportion equation
   37,884 : 57,980 = 57,980 : x
2. Step 2: Convert to fraction form
   37,884/57,980 = 57,980/x
3. Step 3: Cross multiply
   37,884x = 57,980 × 57,980
4. Step 4: Simplify right side
   37,884x = 3,361,680,400
5. Step 5: Solve for x
   x = 3,361,680,400/37,884
6. Step 6: Final answer
   x = 88,736.15