Finding the Third Proportional to 37,075.50 and 81,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,075.50 : 81,532.50 = 81,532.50 : x
2. Step 2: Convert to fraction form
   37,075.50/81,532.50 = 81,532.50/x
3. Step 3: Cross multiply
   37,075.50x = 81,532.50 × 81,532.50
4. Step 4: Simplify right side
   37,075.50x = 6,647,548,556.25
5. Step 5: Solve for x
   x = 6,647,548,556.25/37,075.50
6. Step 6: Final answer
   x = 179,297.61