Finding the Third Proportional to 37,084.50 and 55,208.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,084.50 : 55,208.25 = 55,208.25 : x
2. Step 2: Convert to fraction form
   37,084.50/55,208.25 = 55,208.25/x
3. Step 3: Cross multiply
   37,084.50x = 55,208.25 × 55,208.25
4. Step 4: Simplify right side
   37,084.50x = 3,047,950,868.06
5. Step 5: Solve for x
   x = 3,047,950,868.06/37,084.50
6. Step 6: Final answer
   x = 82,189.35