Finding the Third Proportional to 41,409 and 64,573.88

Step by Step Solution

1. Step 1: Write the proportion equation
   41,409 : 64,573.88 = 64,573.88 : x
2. Step 2: Convert to fraction form
   41,409/64,573.88 = 64,573.88/x
3. Step 3: Cross multiply
   41,409x = 64,573.88 × 64,573.88
4. Step 4: Simplify right side
   41,409x = 4,169,785,332.52
5. Step 5: Solve for x
   x = 4,169,785,332.52/41,409
6. Step 6: Final answer
   x = 100,697.56