Finding the Third Proportional to 69,085 and 105,632

Step by Step Solution

1. Step 1: Write the proportion equation
   69,085 : 105,632 = 105,632 : x
2. Step 2: Convert to fraction form
   69,085/105,632 = 105,632/x
3. Step 3: Cross multiply
   69,085x = 105,632 × 105,632
4. Step 4: Simplify right side
   69,085x = 11,158,119,424
5. Step 5: Solve for x
   x = 11,158,119,424/69,085
6. Step 6: Final answer
   x = 161,512.91