Finding the Third Proportional to 47,414 and 64,290

Step by Step Solution

1. Step 1: Write the proportion equation
   47,414 : 64,290 = 64,290 : x
2. Step 2: Convert to fraction form
   47,414/64,290 = 64,290/x
3. Step 3: Cross multiply
   47,414x = 64,290 × 64,290
4. Step 4: Simplify right side
   47,414x = 4,133,204,100
5. Step 5: Solve for x
   x = 4,133,204,100/47,414
6. Step 6: Final answer
   x = 87,172.65