Finding the Third Proportional to 31,644 and 64,197

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 64,197 = 64,197 : x
2. Step 2: Convert to fraction form
   31,644/64,197 = 64,197/x
3. Step 3: Cross multiply
   31,644x = 64,197 × 64,197
4. Step 4: Simplify right side
   31,644x = 4,121,254,809
5. Step 5: Solve for x
   x = 4,121,254,809/31,644
6. Step 6: Final answer
   x = 130,238.11