Finding the Third Proportional to 37,680 and 56,628

Step by Step Solution

1. Step 1: Write the proportion equation
   37,680 : 56,628 = 56,628 : x
2. Step 2: Convert to fraction form
   37,680/56,628 = 56,628/x
3. Step 3: Cross multiply
   37,680x = 56,628 × 56,628
4. Step 4: Simplify right side
   37,680x = 3,206,730,384
5. Step 5: Solve for x
   x = 3,206,730,384/37,680
6. Step 6: Final answer
   x = 85,104.31