Finding the Third Proportional to 30,978.75 and 47,868

Step by Step Solution

1. Step 1: Write the proportion equation
   30,978.75 : 47,868 = 47,868 : x
2. Step 2: Convert to fraction form
   30,978.75/47,868 = 47,868/x
3. Step 3: Cross multiply
   30,978.75x = 47,868 × 47,868
4. Step 4: Simplify right side
   30,978.75x = 2,291,345,424
5. Step 5: Solve for x
   x = 2,291,345,424/30,978.75
6. Step 6: Final answer
   x = 73,965.07