Finding the Third Proportional to 10,082.50 and 21,209

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.50 : 21,209 = 21,209 : x
2. Step 2: Convert to fraction form
   10,082.50/21,209 = 21,209/x
3. Step 3: Cross multiply
   10,082.50x = 21,209 × 21,209
4. Step 4: Simplify right side
   10,082.50x = 449,821,681
5. Step 5: Solve for x
   x = 449,821,681/10,082.50
6. Step 6: Final answer
   x = 44,614.10