Finding the Third Proportional to 41,823 and 62,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,823 : 62,761.50 = 62,761.50 : x
2. Step 2: Convert to fraction form
   41,823/62,761.50 = 62,761.50/x
3. Step 3: Cross multiply
   41,823x = 62,761.50 × 62,761.50
4. Step 4: Simplify right side
   41,823x = 3,939,005,882.25
5. Step 5: Solve for x
   x = 3,939,005,882.25/41,823
6. Step 6: Final answer
   x = 94,182.77