Finding the Third Proportional to 41,431 and 64,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,431 : 64,811.50 = 64,811.50 : x
2. Step 2: Convert to fraction form
   41,431/64,811.50 = 64,811.50/x
3. Step 3: Cross multiply
   41,431x = 64,811.50 × 64,811.50
4. Step 4: Simplify right side
   41,431x = 4,200,530,532.25
5. Step 5: Solve for x
   x = 4,200,530,532.25/41,431
6. Step 6: Final answer
   x = 101,386.17