Finding the Third Proportional to 35,496 and 55,656

Step by Step Solution

1. Step 1: Write the proportion equation
   35,496 : 55,656 = 55,656 : x
2. Step 2: Convert to fraction form
   35,496/55,656 = 55,656/x
3. Step 3: Cross multiply
   35,496x = 55,656 × 55,656
4. Step 4: Simplify right side
   35,496x = 3,097,590,336
5. Step 5: Solve for x
   x = 3,097,590,336/35,496
6. Step 6: Final answer
   x = 87,265.90