Finding the Third Proportional to 31,512 and 64,464

Step by Step Solution

1. Step 1: Write the proportion equation
   31,512 : 64,464 = 64,464 : x
2. Step 2: Convert to fraction form
   31,512/64,464 = 64,464/x
3. Step 3: Cross multiply
   31,512x = 64,464 × 64,464
4. Step 4: Simplify right side
   31,512x = 4,155,607,296
5. Step 5: Solve for x
   x = 4,155,607,296/31,512
6. Step 6: Final answer
   x = 131,873.80