Finding the Third Proportional to 31,680 and 73,664

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680 : 73,664 = 73,664 : x
2. Step 2: Convert to fraction form
   31,680/73,664 = 73,664/x
3. Step 3: Cross multiply
   31,680x = 73,664 × 73,664
4. Step 4: Simplify right side
   31,680x = 5,426,384,896
5. Step 5: Solve for x
   x = 5,426,384,896/31,680
6. Step 6: Final answer
   x = 171,287.40