Finding the Third Proportional to 40,682 and 59,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,682 : 59,774.50 = 59,774.50 : x
2. Step 2: Convert to fraction form
   40,682/59,774.50 = 59,774.50/x
3. Step 3: Cross multiply
   40,682x = 59,774.50 × 59,774.50
4. Step 4: Simplify right side
   40,682x = 3,572,990,850.25
5. Step 5: Solve for x
   x = 3,572,990,850.25/40,682
6. Step 6: Final answer
   x = 87,827.32