Finding the Third Proportional to 29,698 and 64,002

Step by Step Solution

1. Step 1: Write the proportion equation
   29,698 : 64,002 = 64,002 : x
2. Step 2: Convert to fraction form
   29,698/64,002 = 64,002/x
3. Step 3: Cross multiply
   29,698x = 64,002 × 64,002
4. Step 4: Simplify right side
   29,698x = 4,096,256,004
5. Step 5: Solve for x
   x = 4,096,256,004/29,698
6. Step 6: Final answer
   x = 137,930.37