Finding the Third Proportional to 34,543 and 71,543

Step by Step Solution

1. Step 1: Write the proportion equation
   34,543 : 71,543 = 71,543 : x
2. Step 2: Convert to fraction form
   34,543/71,543 = 71,543/x
3. Step 3: Cross multiply
   34,543x = 71,543 × 71,543
4. Step 4: Simplify right side
   34,543x = 5,118,400,849
5. Step 5: Solve for x
   x = 5,118,400,849/34,543
6. Step 6: Final answer
   x = 148,174.76