Finding the Third Proportional to 14,972 and 23,082

Step by Step Solution

1. Step 1: Write the proportion equation
   14,972 : 23,082 = 23,082 : x
2. Step 2: Convert to fraction form
   14,972/23,082 = 23,082/x
3. Step 3: Cross multiply
   14,972x = 23,082 × 23,082
4. Step 4: Simplify right side
   14,972x = 532,778,724
5. Step 5: Solve for x
   x = 532,778,724/14,972
6. Step 6: Final answer
   x = 35,585.01