Finding the Third Proportional to 41,420.25 and 64,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,420.25 : 64,588.50 = 64,588.50 : x
2. Step 2: Convert to fraction form
   41,420.25/64,588.50 = 64,588.50/x
3. Step 3: Cross multiply
   41,420.25x = 64,588.50 × 64,588.50
4. Step 4: Simplify right side
   41,420.25x = 4,171,674,332.25
5. Step 5: Solve for x
   x = 4,171,674,332.25/41,420.25
6. Step 6: Final answer
   x = 100,715.82