Finding the Third Proportional to 69,102 and 105,654

Step by Step Solution

1. Step 1: Write the proportion equation
   69,102 : 105,654 = 105,654 : x
2. Step 2: Convert to fraction form
   69,102/105,654 = 105,654/x
3. Step 3: Cross multiply
   69,102x = 105,654 × 105,654
4. Step 4: Simplify right side
   69,102x = 11,162,767,716
5. Step 5: Solve for x
   x = 11,162,767,716/69,102
6. Step 6: Final answer
   x = 161,540.44