Finding the Third Proportional to 23,088 and 35,736

Step by Step Solution

1. Step 1: Write the proportion equation
   23,088 : 35,736 = 35,736 : x
2. Step 2: Convert to fraction form
   23,088/35,736 = 35,736/x
3. Step 3: Cross multiply
   23,088x = 35,736 × 35,736
4. Step 4: Simplify right side
   23,088x = 1,277,061,696
5. Step 5: Solve for x
   x = 1,277,061,696/23,088
6. Step 6: Final answer
   x = 55,312.79