Finding the Third Proportional to 41,407 and 64,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,407 : 64,570.50 = 64,570.50 : x
2. Step 2: Convert to fraction form
   41,407/64,570.50 = 64,570.50/x
3. Step 3: Cross multiply
   41,407x = 64,570.50 × 64,570.50
4. Step 4: Simplify right side
   41,407x = 4,169,349,470.25
5. Step 5: Solve for x
   x = 4,169,349,470.25/41,407
6. Step 6: Final answer
   x = 100,691.90