Finding the Third Proportional to 37,577.25 and 87,382.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,577.25 : 87,382.13 = 87,382.13 : x
2. Step 2: Convert to fraction form
   37,577.25/87,382.13 = 87,382.13/x
3. Step 3: Cross multiply
   37,577.25x = 87,382.13 × 87,382.13
4. Step 4: Simplify right side
   37,577.25x = 7,635,635,769.52
5. Step 5: Solve for x
   x = 7,635,635,769.52/37,577.25
6. Step 6: Final answer
   x = 203,198.37