Finding the Third Proportional to 8,846 and 12,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,846 : 12,538.50 = 12,538.50 : x
2. Step 2: Convert to fraction form
   8,846/12,538.50 = 12,538.50/x
3. Step 3: Cross multiply
   8,846x = 12,538.50 × 12,538.50
4. Step 4: Simplify right side
   8,846x = 157,213,982.25
5. Step 5: Solve for x
   x = 157,213,982.25/8,846
6. Step 6: Final answer
   x = 17,772.32