Finding the Third Proportional to 32,487 and 47,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,487 : 47,578.50 = 47,578.50 : x
2. Step 2: Convert to fraction form
   32,487/47,578.50 = 47,578.50/x
3. Step 3: Cross multiply
   32,487x = 47,578.50 × 47,578.50
4. Step 4: Simplify right side
   32,487x = 2,263,713,662.25
5. Step 5: Solve for x
   x = 2,263,713,662.25/32,487
6. Step 6: Final answer
   x = 69,680.60