Finding the Third Proportional to 25,506 and 39,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,506 : 39,589.50 = 39,589.50 : x
2. Step 2: Convert to fraction form
   25,506/39,589.50 = 39,589.50/x
3. Step 3: Cross multiply
   25,506x = 39,589.50 × 39,589.50
4. Step 4: Simplify right side
   25,506x = 1,567,328,510.25
5. Step 5: Solve for x
   x = 1,567,328,510.25/25,506
6. Step 6: Final answer
   x = 61,449.40