Finding the Third Proportional to 37,671 and 58,368

Step by Step Solution

1. Step 1: Write the proportion equation
   37,671 : 58,368 = 58,368 : x
2. Step 2: Convert to fraction form
   37,671/58,368 = 58,368/x
3. Step 3: Cross multiply
   37,671x = 58,368 × 58,368
4. Step 4: Simplify right side
   37,671x = 3,406,823,424
5. Step 5: Solve for x
   x = 3,406,823,424/37,671
6. Step 6: Final answer
   x = 90,436.24