Finding the Third Proportional to 41,529 and 59,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,529 : 59,698.50 = 59,698.50 : x
2. Step 2: Convert to fraction form
   41,529/59,698.50 = 59,698.50/x
3. Step 3: Cross multiply
   41,529x = 59,698.50 × 59,698.50
4. Step 4: Simplify right side
   41,529x = 3,563,910,902.25
5. Step 5: Solve for x
   x = 3,563,910,902.25/41,529
6. Step 6: Final answer
   x = 85,817.40