Finding the Third Proportional to 31,320 and 46,614

Step by Step Solution

1. Step 1: Write the proportion equation
   31,320 : 46,614 = 46,614 : x
2. Step 2: Convert to fraction form
   31,320/46,614 = 46,614/x
3. Step 3: Cross multiply
   31,320x = 46,614 × 46,614
4. Step 4: Simplify right side
   31,320x = 2,172,864,996
5. Step 5: Solve for x
   x = 2,172,864,996/31,320
6. Step 6: Final answer
   x = 69,376.28