Finding the Third Proportional to 36,577 and 85,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,577 : 85,466.50 = 85,466.50 : x
2. Step 2: Convert to fraction form
   36,577/85,466.50 = 85,466.50/x
3. Step 3: Cross multiply
   36,577x = 85,466.50 × 85,466.50
4. Step 4: Simplify right side
   36,577x = 7,304,522,622.25
5. Step 5: Solve for x
   x = 7,304,522,622.25/36,577
6. Step 6: Final answer
   x = 199,702.62