Finding the Third Proportional to 35,688 and 55,378

Step by Step Solution

1. Step 1: Write the proportion equation
   35,688 : 55,378 = 55,378 : x
2. Step 2: Convert to fraction form
   35,688/55,378 = 55,378/x
3. Step 3: Cross multiply
   35,688x = 55,378 × 55,378
4. Step 4: Simplify right side
   35,688x = 3,066,722,884
5. Step 5: Solve for x
   x = 3,066,722,884/35,688
6. Step 6: Final answer
   x = 85,931.49