Finding the Third Proportional to 16,580 and 25,032

Step by Step Solution

1. Step 1: Write the proportion equation
   16,580 : 25,032 = 25,032 : x
2. Step 2: Convert to fraction form
   16,580/25,032 = 25,032/x
3. Step 3: Cross multiply
   16,580x = 25,032 × 25,032
4. Step 4: Simplify right side
   16,580x = 626,601,024
5. Step 5: Solve for x
   x = 626,601,024/16,580
6. Step 6: Final answer
   x = 37,792.58