Finding the Third Proportional to 41,421 and 64,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,421 : 64,255.50 = 64,255.50 : x
2. Step 2: Convert to fraction form
   41,421/64,255.50 = 64,255.50/x
3. Step 3: Cross multiply
   41,421x = 64,255.50 × 64,255.50
4. Step 4: Simplify right side
   41,421x = 4,128,769,280.25
5. Step 5: Solve for x
   x = 4,128,769,280.25/41,421
6. Step 6: Final answer
   x = 99,678.17