Finding the Third Proportional to 37,680 and 58,796

Step by Step Solution

1. Step 1: Write the proportion equation
   37,680 : 58,796 = 58,796 : x
2. Step 2: Convert to fraction form
   37,680/58,796 = 58,796/x
3. Step 3: Cross multiply
   37,680x = 58,796 × 58,796
4. Step 4: Simplify right side
   37,680x = 3,456,969,616
5. Step 5: Solve for x
   x = 3,456,969,616/37,680
6. Step 6: Final answer
   x = 91,745.48