Finding the Third Proportional to 37,075.25 and 79,982.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,075.25 : 79,982.75 = 79,982.75 : x
2. Step 2: Convert to fraction form
   37,075.25/79,982.75 = 79,982.75/x
3. Step 3: Cross multiply
   37,075.25x = 79,982.75 × 79,982.75
4. Step 4: Simplify right side
   37,075.25x = 6,397,240,297.56
5. Step 5: Solve for x
   x = 6,397,240,297.56/37,075.25
6. Step 6: Final answer
   x = 172,547.46