Finding the Third Proportional to 37,200 and 55,828

Step by Step Solution

1. Step 1: Write the proportion equation
   37,200 : 55,828 = 55,828 : x
2. Step 2: Convert to fraction form
   37,200/55,828 = 55,828/x
3. Step 3: Cross multiply
   37,200x = 55,828 × 55,828
4. Step 4: Simplify right side
   37,200x = 3,116,765,584
5. Step 5: Solve for x
   x = 3,116,765,584/37,200
6. Step 6: Final answer
   x = 83,784.02