Finding the Third Proportional to 24,642 and 36,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,642 : 36,085.50 = 36,085.50 : x
2. Step 2: Convert to fraction form
   24,642/36,085.50 = 36,085.50/x
3. Step 3: Cross multiply
   24,642x = 36,085.50 × 36,085.50
4. Step 4: Simplify right side
   24,642x = 1,302,163,310.25
5. Step 5: Solve for x
   x = 1,302,163,310.25/24,642
6. Step 6: Final answer
   x = 52,843.25