Finding the Third Proportional to 35,545 and 82,288

Step by Step Solution

1. Step 1: Write the proportion equation
   35,545 : 82,288 = 82,288 : x
2. Step 2: Convert to fraction form
   35,545/82,288 = 82,288/x
3. Step 3: Cross multiply
   35,545x = 82,288 × 82,288
4. Step 4: Simplify right side
   35,545x = 6,771,314,944
5. Step 5: Solve for x
   x = 6,771,314,944/35,545
6. Step 6: Final answer
   x = 190,499.79