Finding the Third Proportional to 36,836 and 55,258

Step by Step Solution

1. Step 1: Write the proportion equation
   36,836 : 55,258 = 55,258 : x
2. Step 2: Convert to fraction form
   36,836/55,258 = 55,258/x
3. Step 3: Cross multiply
   36,836x = 55,258 × 55,258
4. Step 4: Simplify right side
   36,836x = 3,053,446,564
5. Step 5: Solve for x
   x = 3,053,446,564/36,836
6. Step 6: Final answer
   x = 82,893.00