Finding the Third Proportional to 71,570 and 105,166

Step by Step Solution

1. Step 1: Write the proportion equation
   71,570 : 105,166 = 105,166 : x
2. Step 2: Convert to fraction form
   71,570/105,166 = 105,166/x
3. Step 3: Cross multiply
   71,570x = 105,166 × 105,166
4. Step 4: Simplify right side
   71,570x = 11,059,887,556
5. Step 5: Solve for x
   x = 11,059,887,556/71,570
6. Step 6: Final answer
   x = 154,532.45