Finding the Third Proportional to 25,641 and 40,891.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,641 : 40,891.50 = 40,891.50 : x
2. Step 2: Convert to fraction form
   25,641/40,891.50 = 40,891.50/x
3. Step 3: Cross multiply
   25,641x = 40,891.50 × 40,891.50
4. Step 4: Simplify right side
   25,641x = 1,672,114,772.25
5. Step 5: Solve for x
   x = 1,672,114,772.25/25,641
6. Step 6: Final answer
   x = 65,212.54