Finding the Third Proportional to 37,382 and 55,749

Step by Step Solution

1. Step 1: Write the proportion equation
   37,382 : 55,749 = 55,749 : x
2. Step 2: Convert to fraction form
   37,382/55,749 = 55,749/x
3. Step 3: Cross multiply
   37,382x = 55,749 × 55,749
4. Step 4: Simplify right side
   37,382x = 3,107,951,001
5. Step 5: Solve for x
   x = 3,107,951,001/37,382
6. Step 6: Final answer
   x = 83,140.31