Finding the Third Proportional to 47,858 and 71,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,858 : 71,320.50 = 71,320.50 : x
2. Step 2: Convert to fraction form
   47,858/71,320.50 = 71,320.50/x
3. Step 3: Cross multiply
   47,858x = 71,320.50 × 71,320.50
4. Step 4: Simplify right side
   47,858x = 5,086,613,720.25
5. Step 5: Solve for x
   x = 5,086,613,720.25/47,858
6. Step 6: Final answer
   x = 106,285.55