Finding the Third Proportional to 41,533 and 64,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,533 : 64,027.50 = 64,027.50 : x
2. Step 2: Convert to fraction form
   41,533/64,027.50 = 64,027.50/x
3. Step 3: Cross multiply
   41,533x = 64,027.50 × 64,027.50
4. Step 4: Simplify right side
   41,533x = 4,099,520,756.25
5. Step 5: Solve for x
   x = 4,099,520,756.25/41,533
6. Step 6: Final answer
   x = 98,705.14