Finding the Third Proportional to 35,490 and 82,146

Step by Step Solution

1. Step 1: Write the proportion equation
   35,490 : 82,146 = 82,146 : x
2. Step 2: Convert to fraction form
   35,490/82,146 = 82,146/x
3. Step 3: Cross multiply
   35,490x = 82,146 × 82,146
4. Step 4: Simplify right side
   35,490x = 6,747,965,316
5. Step 5: Solve for x
   x = 6,747,965,316/35,490
6. Step 6: Final answer
   x = 190,137.09