Finding the Third Proportional to 16,029 and 35,082

Step by Step Solution

1. Step 1: Write the proportion equation
   16,029 : 35,082 = 35,082 : x
2. Step 2: Convert to fraction form
   16,029/35,082 = 35,082/x
3. Step 3: Cross multiply
   16,029x = 35,082 × 35,082
4. Step 4: Simplify right side
   16,029x = 1,230,746,724
5. Step 5: Solve for x
   x = 1,230,746,724/16,029
6. Step 6: Final answer
   x = 76,782.50