Finding the Third Proportional to 25,569 and 39,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,569 : 39,595.50 = 39,595.50 : x
2. Step 2: Convert to fraction form
   25,569/39,595.50 = 39,595.50/x
3. Step 3: Cross multiply
   25,569x = 39,595.50 × 39,595.50
4. Step 4: Simplify right side
   25,569x = 1,567,803,620.25
5. Step 5: Solve for x
   x = 1,567,803,620.25/25,569
6. Step 6: Final answer
   x = 61,316.58