Finding the Third Proportional to 35,970 and 54,454

Step by Step Solution

1. Step 1: Write the proportion equation
   35,970 : 54,454 = 54,454 : x
2. Step 2: Convert to fraction form
   35,970/54,454 = 54,454/x
3. Step 3: Cross multiply
   35,970x = 54,454 × 54,454
4. Step 4: Simplify right side
   35,970x = 2,965,238,116
5. Step 5: Solve for x
   x = 2,965,238,116/35,970
6. Step 6: Final answer
   x = 82,436.42