Finding the Third Proportional to 29,662 and 64,426

Step by Step Solution

1. Step 1: Write the proportion equation
   29,662 : 64,426 = 64,426 : x
2. Step 2: Convert to fraction form
   29,662/64,426 = 64,426/x
3. Step 3: Cross multiply
   29,662x = 64,426 × 64,426
4. Step 4: Simplify right side
   29,662x = 4,150,709,476
5. Step 5: Solve for x
   x = 4,150,709,476/29,662
6. Step 6: Final answer
   x = 139,933.57