Finding the Third Proportional to 37,876 and 58,636

Step by Step Solution

1. Step 1: Write the proportion equation
   37,876 : 58,636 = 58,636 : x
2. Step 2: Convert to fraction form
   37,876/58,636 = 58,636/x
3. Step 3: Cross multiply
   37,876x = 58,636 × 58,636
4. Step 4: Simplify right side
   37,876x = 3,438,180,496
5. Step 5: Solve for x
   x = 3,438,180,496/37,876
6. Step 6: Final answer
   x = 90,774.65