Finding the Third Proportional to 34,842 and 53,082

Step by Step Solution

1. Step 1: Write the proportion equation
   34,842 : 53,082 = 53,082 : x
2. Step 2: Convert to fraction form
   34,842/53,082 = 53,082/x
3. Step 3: Cross multiply
   34,842x = 53,082 × 53,082
4. Step 4: Simplify right side
   34,842x = 2,817,698,724
5. Step 5: Solve for x
   x = 2,817,698,724/34,842
6. Step 6: Final answer
   x = 80,870.75