Finding the Third Proportional to 37,217 and 50,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,217 : 50,538.50 = 50,538.50 : x
2. Step 2: Convert to fraction form
   37,217/50,538.50 = 50,538.50/x
3. Step 3: Cross multiply
   37,217x = 50,538.50 × 50,538.50
4. Step 4: Simplify right side
   37,217x = 2,554,139,982.25
5. Step 5: Solve for x
   x = 2,554,139,982.25/37,217
6. Step 6: Final answer
   x = 68,628.31