Finding the Third Proportional to 29,700 and 64,005

Step by Step Solution

1. Step 1: Write the proportion equation
   29,700 : 64,005 = 64,005 : x
2. Step 2: Convert to fraction form
   29,700/64,005 = 64,005/x
3. Step 3: Cross multiply
   29,700x = 64,005 × 64,005
4. Step 4: Simplify right side
   29,700x = 4,096,640,025
5. Step 5: Solve for x
   x = 4,096,640,025/29,700
6. Step 6: Final answer
   x = 137,934.01