Finding the Third Proportional to 33,600 and 55,326

Step by Step Solution

1. Step 1: Write the proportion equation
   33,600 : 55,326 = 55,326 : x
2. Step 2: Convert to fraction form
   33,600/55,326 = 55,326/x
3. Step 3: Cross multiply
   33,600x = 55,326 × 55,326
4. Step 4: Simplify right side
   33,600x = 3,060,966,276
5. Step 5: Solve for x
   x = 3,060,966,276/33,600
6. Step 6: Final answer
   x = 91,100.19