Finding the Third Proportional to 35,688 and 55,508

Step by Step Solution

1. Step 1: Write the proportion equation
   35,688 : 55,508 = 55,508 : x
2. Step 2: Convert to fraction form
   35,688/55,508 = 55,508/x
3. Step 3: Cross multiply
   35,688x = 55,508 × 55,508
4. Step 4: Simplify right side
   35,688x = 3,081,138,064
5. Step 5: Solve for x
   x = 3,081,138,064/35,688
6. Step 6: Final answer
   x = 86,335.41