Finding the Third Proportional to 41,427 and 58,563

Step by Step Solution

1. Step 1: Write the proportion equation
   41,427 : 58,563 = 58,563 : x
2. Step 2: Convert to fraction form
   41,427/58,563 = 58,563/x
3. Step 3: Cross multiply
   41,427x = 58,563 × 58,563
4. Step 4: Simplify right side
   41,427x = 3,429,624,969
5. Step 5: Solve for x
   x = 3,429,624,969/41,427
6. Step 6: Final answer
   x = 82,787.19