Finding the Third Proportional to 13,972.50 and 32,850.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,972.50 : 32,850.56 = 32,850.56 : x
2. Step 2: Convert to fraction form
   13,972.50/32,850.56 = 32,850.56/x
3. Step 3: Cross multiply
   13,972.50x = 32,850.56 × 32,850.56
4. Step 4: Simplify right side
   13,972.50x = 1,079,159,456.57
5. Step 5: Solve for x
   x = 1,079,159,456.57/13,972.50
6. Step 6: Final answer
   x = 77,234.53