Finding the Third Proportional to 31,527 and 64,629

Step by Step Solution

1. Step 1: Write the proportion equation
   31,527 : 64,629 = 64,629 : x
2. Step 2: Convert to fraction form
   31,527/64,629 = 64,629/x
3. Step 3: Cross multiply
   31,527x = 64,629 × 64,629
4. Step 4: Simplify right side
   31,527x = 4,176,907,641
5. Step 5: Solve for x
   x = 4,176,907,641/31,527
6. Step 6: Final answer
   x = 132,486.68