Finding the Third Proportional to 37,680 and 55,368

Step by Step Solution

1. Step 1: Write the proportion equation
   37,680 : 55,368 = 55,368 : x
2. Step 2: Convert to fraction form
   37,680/55,368 = 55,368/x
3. Step 3: Cross multiply
   37,680x = 55,368 × 55,368
4. Step 4: Simplify right side
   37,680x = 3,065,615,424
5. Step 5: Solve for x
   x = 3,065,615,424/37,680
6. Step 6: Final answer
   x = 81,359.22