Finding the Third Proportional to 41,564 and 62,783

Step by Step Solution

1. Step 1: Write the proportion equation
   41,564 : 62,783 = 62,783 : x
2. Step 2: Convert to fraction form
   41,564/62,783 = 62,783/x
3. Step 3: Cross multiply
   41,564x = 62,783 × 62,783
4. Step 4: Simplify right side
   41,564x = 3,941,705,089
5. Step 5: Solve for x
   x = 3,941,705,089/41,564
6. Step 6: Final answer
   x = 94,834.59