Finding the Third Proportional to 30,537 and 62,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,537 : 62,572.50 = 62,572.50 : x
2. Step 2: Convert to fraction form
   30,537/62,572.50 = 62,572.50/x
3. Step 3: Cross multiply
   30,537x = 62,572.50 × 62,572.50
4. Step 4: Simplify right side
   30,537x = 3,915,317,756.25
5. Step 5: Solve for x
   x = 3,915,317,756.25/30,537
6. Step 6: Final answer
   x = 128,215.53