Finding the Third Proportional to 29,648 and 64,216

Step by Step Solution

1. Step 1: Write the proportion equation
   29,648 : 64,216 = 64,216 : x
2. Step 2: Convert to fraction form
   29,648/64,216 = 64,216/x
3. Step 3: Cross multiply
   29,648x = 64,216 × 64,216
4. Step 4: Simplify right side
   29,648x = 4,123,694,656
5. Step 5: Solve for x
   x = 4,123,694,656/29,648
6. Step 6: Final answer
   x = 139,088.46