Finding the Third Proportional to 37,588 and 55,976

Step by Step Solution

1. Step 1: Write the proportion equation
   37,588 : 55,976 = 55,976 : x
2. Step 2: Convert to fraction form
   37,588/55,976 = 55,976/x
3. Step 3: Cross multiply
   37,588x = 55,976 × 55,976
4. Step 4: Simplify right side
   37,588x = 3,133,312,576
5. Step 5: Solve for x
   x = 3,133,312,576/37,588
6. Step 6: Final answer
   x = 83,359.39