Finding the Third Proportional to 35,494 and 55,679

Step by Step Solution

1. Step 1: Write the proportion equation
   35,494 : 55,679 = 55,679 : x
2. Step 2: Convert to fraction form
   35,494/55,679 = 55,679/x
3. Step 3: Cross multiply
   35,494x = 55,679 × 55,679
4. Step 4: Simplify right side
   35,494x = 3,100,151,041
5. Step 5: Solve for x
   x = 3,100,151,041/35,494
6. Step 6: Final answer
   x = 87,342.96