Finding the Third Proportional to 41,564 and 62,782.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,564 : 62,782.75 = 62,782.75 : x
2. Step 2: Convert to fraction form
   41,564/62,782.75 = 62,782.75/x
3. Step 3: Cross multiply
   41,564x = 62,782.75 × 62,782.75
4. Step 4: Simplify right side
   41,564x = 3,941,673,697.56
5. Step 5: Solve for x
   x = 3,941,673,697.56/41,564
6. Step 6: Final answer
   x = 94,833.84