Finding the Third Proportional to 38,970 and 55,143

Step by Step Solution

1. Step 1: Write the proportion equation
   38,970 : 55,143 = 55,143 : x
2. Step 2: Convert to fraction form
   38,970/55,143 = 55,143/x
3. Step 3: Cross multiply
   38,970x = 55,143 × 55,143
4. Step 4: Simplify right side
   38,970x = 3,040,750,449
5. Step 5: Solve for x
   x = 3,040,750,449/38,970
6. Step 6: Final answer
   x = 78,027.98