Finding the Third Proportional to 37,952 and 58,638

Step by Step Solution

1. Step 1: Write the proportion equation
   37,952 : 58,638 = 58,638 : x
2. Step 2: Convert to fraction form
   37,952/58,638 = 58,638/x
3. Step 3: Cross multiply
   37,952x = 58,638 × 58,638
4. Step 4: Simplify right side
   37,952x = 3,438,415,044
5. Step 5: Solve for x
   x = 3,438,415,044/37,952
6. Step 6: Final answer
   x = 90,599.05