Finding the Third Proportional to 15,878 and 37,427

Step by Step Solution

1. Step 1: Write the proportion equation
   15,878 : 37,427 = 37,427 : x
2. Step 2: Convert to fraction form
   15,878/37,427 = 37,427/x
3. Step 3: Cross multiply
   15,878x = 37,427 × 37,427
4. Step 4: Simplify right side
   15,878x = 1,400,780,329
5. Step 5: Solve for x
   x = 1,400,780,329/15,878
6. Step 6: Final answer
   x = 88,221.46