Finding the Third Proportional to 40,688 and 64,308

Step by Step Solution

1. Step 1: Write the proportion equation
   40,688 : 64,308 = 64,308 : x
2. Step 2: Convert to fraction form
   40,688/64,308 = 64,308/x
3. Step 3: Cross multiply
   40,688x = 64,308 × 64,308
4. Step 4: Simplify right side
   40,688x = 4,135,518,864
5. Step 5: Solve for x
   x = 4,135,518,864/40,688
6. Step 6: Final answer
   x = 101,639.77