Finding the Third Proportional to 27,580 and 41,362

Step by Step Solution

1. Step 1: Write the proportion equation
   27,580 : 41,362 = 41,362 : x
2. Step 2: Convert to fraction form
   27,580/41,362 = 41,362/x
3. Step 3: Cross multiply
   27,580x = 41,362 × 41,362
4. Step 4: Simplify right side
   27,580x = 1,710,815,044
5. Step 5: Solve for x
   x = 1,710,815,044/27,580
6. Step 6: Final answer
   x = 62,031.00