Finding the Third Proportional to 13,157 and 20,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,157 : 20,367.50 = 20,367.50 : x
2. Step 2: Convert to fraction form
   13,157/20,367.50 = 20,367.50/x
3. Step 3: Cross multiply
   13,157x = 20,367.50 × 20,367.50
4. Step 4: Simplify right side
   13,157x = 414,835,056.25
5. Step 5: Solve for x
   x = 414,835,056.25/13,157
6. Step 6: Final answer
   x = 31,529.61