Finding the Third Proportional to 21,962 and 53,082

Step by Step Solution

1. Step 1: Write the proportion equation
   21,962 : 53,082 = 53,082 : x
2. Step 2: Convert to fraction form
   21,962/53,082 = 53,082/x
3. Step 3: Cross multiply
   21,962x = 53,082 × 53,082
4. Step 4: Simplify right side
   21,962x = 2,817,698,724
5. Step 5: Solve for x
   x = 2,817,698,724/21,962
6. Step 6: Final answer
   x = 128,298.82