Finding the Third Proportional to 25,589.67 and 40,564.55

Step by Step Solution

1. Step 1: Write the proportion equation
   25,589.67 : 40,564.55 = 40,564.55 : x
2. Step 2: Convert to fraction form
   25,589.67/40,564.55 = 40,564.55/x
3. Step 3: Cross multiply
   25,589.67x = 40,564.55 × 40,564.55
4. Step 4: Simplify right side
   25,589.67x = 1,645,482,463.17
5. Step 5: Solve for x
   x = 1,645,482,463.17/25,589.67
6. Step 6: Final answer
   x = 64,302.60