Finding the Third Proportional to 15,876 and 37,422

Step by Step Solution

1. Step 1: Write the proportion equation
   15,876 : 37,422 = 37,422 : x
2. Step 2: Convert to fraction form
   15,876/37,422 = 37,422/x
3. Step 3: Cross multiply
   15,876x = 37,422 × 37,422
4. Step 4: Simplify right side
   15,876x = 1,400,406,084
5. Step 5: Solve for x
   x = 1,400,406,084/15,876
6. Step 6: Final answer
   x = 88,209