Finding the Third Proportional to 29,699 and 64,003

Step by Step Solution

1. Step 1: Write the proportion equation
   29,699 : 64,003 = 64,003 : x
2. Step 2: Convert to fraction form
   29,699/64,003 = 64,003/x
3. Step 3: Cross multiply
   29,699x = 64,003 × 64,003
4. Step 4: Simplify right side
   29,699x = 4,096,384,009
5. Step 5: Solve for x
   x = 4,096,384,009/29,699
6. Step 6: Final answer
   x = 137,930.03