Finding the Third Proportional to 21,082.50 and 31,569

Step by Step Solution

1. Step 1: Write the proportion equation
   21,082.50 : 31,569 = 31,569 : x
2. Step 2: Convert to fraction form
   21,082.50/31,569 = 31,569/x
3. Step 3: Cross multiply
   21,082.50x = 31,569 × 31,569
4. Step 4: Simplify right side
   21,082.50x = 996,601,761
5. Step 5: Solve for x
   x = 996,601,761/21,082.50
6. Step 6: Final answer
   x = 47,271.52