Finding the Third Proportional to 25,533 and 39,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,533 : 39,580.50 = 39,580.50 : x
2. Step 2: Convert to fraction form
   25,533/39,580.50 = 39,580.50/x
3. Step 3: Cross multiply
   25,533x = 39,580.50 × 39,580.50
4. Step 4: Simplify right side
   25,533x = 1,566,615,980.25
5. Step 5: Solve for x
   x = 1,566,615,980.25/25,533
6. Step 6: Final answer
   x = 61,356.52