Finding the Third Proportional to 31,617 and 64,143

Step by Step Solution

1. Step 1: Write the proportion equation
   31,617 : 64,143 = 64,143 : x
2. Step 2: Convert to fraction form
   31,617/64,143 = 64,143/x
3. Step 3: Cross multiply
   31,617x = 64,143 × 64,143
4. Step 4: Simplify right side
   31,617x = 4,114,324,449
5. Step 5: Solve for x
   x = 4,114,324,449/31,617
6. Step 6: Final answer
   x = 130,130.13