Finding the Third Proportional to 35,548 and 54,089

Step by Step Solution

1. Step 1: Write the proportion equation
   35,548 : 54,089 = 54,089 : x
2. Step 2: Convert to fraction form
   35,548/54,089 = 54,089/x
3. Step 3: Cross multiply
   35,548x = 54,089 × 54,089
4. Step 4: Simplify right side
   35,548x = 2,925,619,921
5. Step 5: Solve for x
   x = 2,925,619,921/35,548
6. Step 6: Final answer
   x = 82,300.55