Finding the Third Proportional to 35,576 and 75,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,576 : 75,532.50 = 75,532.50 : x
2. Step 2: Convert to fraction form
   35,576/75,532.50 = 75,532.50/x
3. Step 3: Cross multiply
   35,576x = 75,532.50 × 75,532.50
4. Step 4: Simplify right side
   35,576x = 5,705,158,556.25
5. Step 5: Solve for x
   x = 5,705,158,556.25/35,576
6. Step 6: Final answer
   x = 160,365.37