Finding the Third Proportional to 37,326 and 55,965

Step by Step Solution

1. Step 1: Write the proportion equation
   37,326 : 55,965 = 55,965 : x
2. Step 2: Convert to fraction form
   37,326/55,965 = 55,965/x
3. Step 3: Cross multiply
   37,326x = 55,965 × 55,965
4. Step 4: Simplify right side
   37,326x = 3,132,081,225
5. Step 5: Solve for x
   x = 3,132,081,225/37,326
6. Step 6: Final answer
   x = 83,911.52