Finding the Third Proportional to 69,172 and 105,764

Step by Step Solution

1. Step 1: Write the proportion equation
   69,172 : 105,764 = 105,764 : x
2. Step 2: Convert to fraction form
   69,172/105,764 = 105,764/x
3. Step 3: Cross multiply
   69,172x = 105,764 × 105,764
4. Step 4: Simplify right side
   69,172x = 11,186,023,696
5. Step 5: Solve for x
   x = 11,186,023,696/69,172
6. Step 6: Final answer
   x = 161,713.17