Finding the Third Proportional to 47,627 and 71,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,627 : 71,872.50 = 71,872.50 : x
2. Step 2: Convert to fraction form
   47,627/71,872.50 = 71,872.50/x
3. Step 3: Cross multiply
   47,627x = 71,872.50 × 71,872.50
4. Step 4: Simplify right side
   47,627x = 5,165,656,256.25
5. Step 5: Solve for x
   x = 5,165,656,256.25/47,627
6. Step 6: Final answer
   x = 108,460.67