Finding the Third Proportional to 37,106 and 57,503

Step by Step Solution

1. Step 1: Write the proportion equation
   37,106 : 57,503 = 57,503 : x
2. Step 2: Convert to fraction form
   37,106/57,503 = 57,503/x
3. Step 3: Cross multiply
   37,106x = 57,503 × 57,503
4. Step 4: Simplify right side
   37,106x = 3,306,595,009
5. Step 5: Solve for x
   x = 3,306,595,009/37,106
6. Step 6: Final answer
   x = 89,112.14