Finding the Third Proportional to 47,538 and 71,158

Step by Step Solution

1. Step 1: Write the proportion equation
   47,538 : 71,158 = 71,158 : x
2. Step 2: Convert to fraction form
   47,538/71,158 = 71,158/x
3. Step 3: Cross multiply
   47,538x = 71,158 × 71,158
4. Step 4: Simplify right side
   47,538x = 5,063,460,964
5. Step 5: Solve for x
   x = 5,063,460,964/47,538
6. Step 6: Final answer
   x = 106,513.97