Finding the Third Proportional to 37,320 and 80,664

Step by Step Solution

1. Step 1: Write the proportion equation
   37,320 : 80,664 = 80,664 : x
2. Step 2: Convert to fraction form
   37,320/80,664 = 80,664/x
3. Step 3: Cross multiply
   37,320x = 80,664 × 80,664
4. Step 4: Simplify right side
   37,320x = 6,506,680,896
5. Step 5: Solve for x
   x = 6,506,680,896/37,320
6. Step 6: Final answer
   x = 174,348.36