Finding the Third Proportional to 47,856 and 71,316

Step by Step Solution

1. Step 1: Write the proportion equation
   47,856 : 71,316 = 71,316 : x
2. Step 2: Convert to fraction form
   47,856/71,316 = 71,316/x
3. Step 3: Cross multiply
   47,856x = 71,316 × 71,316
4. Step 4: Simplify right side
   47,856x = 5,085,971,856
5. Step 5: Solve for x
   x = 5,085,971,856/47,856
6. Step 6: Final answer
   x = 106,276.58