Finding the Third Proportional to 37,075.50 and 79,983.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,075.50 : 79,983.75 = 79,983.75 : x
2. Step 2: Convert to fraction form
   37,075.50/79,983.75 = 79,983.75/x
3. Step 3: Cross multiply
   37,075.50x = 79,983.75 × 79,983.75
4. Step 4: Simplify right side
   37,075.50x = 6,397,400,264.06
5. Step 5: Solve for x
   x = 6,397,400,264.06/37,075.50
6. Step 6: Final answer
   x = 172,550.61