Finding the Third Proportional to 16,566 and 25,063

Step by Step Solution

1. Step 1: Write the proportion equation
   16,566 : 25,063 = 25,063 : x
2. Step 2: Convert to fraction form
   16,566/25,063 = 25,063/x
3. Step 3: Cross multiply
   16,566x = 25,063 × 25,063
4. Step 4: Simplify right side
   16,566x = 628,153,969
5. Step 5: Solve for x
   x = 628,153,969/16,566
6. Step 6: Final answer
   x = 37,918.26