Finding the Third Proportional to 37,530.25 and 82,441.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,530.25 : 82,441.63 = 82,441.63 : x
2. Step 2: Convert to fraction form
   37,530.25/82,441.63 = 82,441.63/x
3. Step 3: Cross multiply
   37,530.25x = 82,441.63 × 82,441.63
4. Step 4: Simplify right side
   37,530.25x = 6,796,621,532.64
5. Step 5: Solve for x
   x = 6,796,621,532.64/37,530.25
6. Step 6: Final answer
   x = 181,097.16