Finding the Third Proportional to 35,288 and 75,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,288 : 75,692.50 = 75,692.50 : x
2. Step 2: Convert to fraction form
   35,288/75,692.50 = 75,692.50/x
3. Step 3: Cross multiply
   35,288x = 75,692.50 × 75,692.50
4. Step 4: Simplify right side
   35,288x = 5,729,354,556.25
5. Step 5: Solve for x
   x = 5,729,354,556.25/35,288
6. Step 6: Final answer
   x = 162,359.85