Finding the Third Proportional to 29,709 and 64,061

Step by Step Solution

1. Step 1: Write the proportion equation
   29,709 : 64,061 = 64,061 : x
2. Step 2: Convert to fraction form
   29,709/64,061 = 64,061/x
3. Step 3: Cross multiply
   29,709x = 64,061 × 64,061
4. Step 4: Simplify right side
   29,709x = 4,103,811,721
5. Step 5: Solve for x
   x = 4,103,811,721/29,709
6. Step 6: Final answer
   x = 138,133.62