Finding the Third Proportional to 47,878 and 64,404

Step by Step Solution

1. Step 1: Write the proportion equation
   47,878 : 64,404 = 64,404 : x
2. Step 2: Convert to fraction form
   47,878/64,404 = 64,404/x
3. Step 3: Cross multiply
   47,878x = 64,404 × 64,404
4. Step 4: Simplify right side
   47,878x = 4,147,875,216
5. Step 5: Solve for x
   x = 4,147,875,216/47,878
6. Step 6: Final answer
   x = 86,634.26