Finding the Third Proportional to 25,526 and 54,082

Step by Step Solution

1. Step 1: Write the proportion equation
   25,526 : 54,082 = 54,082 : x
2. Step 2: Convert to fraction form
   25,526/54,082 = 54,082/x
3. Step 3: Cross multiply
   25,526x = 54,082 × 54,082
4. Step 4: Simplify right side
   25,526x = 2,924,862,724
5. Step 5: Solve for x
   x = 2,924,862,724/25,526
6. Step 6: Final answer
   x = 114,583.67