Finding the Third Proportional to 29,648 and 64,030

Step by Step Solution

1. Step 1: Write the proportion equation
   29,648 : 64,030 = 64,030 : x
2. Step 2: Convert to fraction form
   29,648/64,030 = 64,030/x
3. Step 3: Cross multiply
   29,648x = 64,030 × 64,030
4. Step 4: Simplify right side
   29,648x = 4,099,840,900
5. Step 5: Solve for x
   x = 4,099,840,900/29,648
6. Step 6: Final answer
   x = 138,283.89