Finding the Third Proportional to 37,664 and 58,355

Step by Step Solution

1. Step 1: Write the proportion equation
   37,664 : 58,355 = 58,355 : x
2. Step 2: Convert to fraction form
   37,664/58,355 = 58,355/x
3. Step 3: Cross multiply
   37,664x = 58,355 × 58,355
4. Step 4: Simplify right side
   37,664x = 3,405,306,025
5. Step 5: Solve for x
   x = 3,405,306,025/37,664
6. Step 6: Final answer
   x = 90,412.76