Finding the Third Proportional to 40,516 and 64,098

Step by Step Solution

1. Step 1: Write the proportion equation
   40,516 : 64,098 = 64,098 : x
2. Step 2: Convert to fraction form
   40,516/64,098 = 64,098/x
3. Step 3: Cross multiply
   40,516x = 64,098 × 64,098
4. Step 4: Simplify right side
   40,516x = 4,108,553,604
5. Step 5: Solve for x
   x = 4,108,553,604/40,516
6. Step 6: Final answer
   x = 101,405.71