Finding the Third Proportional to 37,671 and 58,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,671 : 58,324.50 = 58,324.50 : x
2. Step 2: Convert to fraction form
   37,671/58,324.50 = 58,324.50/x
3. Step 3: Cross multiply
   37,671x = 58,324.50 × 58,324.50
4. Step 4: Simplify right side
   37,671x = 3,401,747,300.25
5. Step 5: Solve for x
   x = 3,401,747,300.25/37,671
6. Step 6: Final answer
   x = 90,301.49