Finding the Third Proportional to 13,196.50 and 31,138.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,196.50 : 31,138.75 = 31,138.75 : x
2. Step 2: Convert to fraction form
   13,196.50/31,138.75 = 31,138.75/x
3. Step 3: Cross multiply
   13,196.50x = 31,138.75 × 31,138.75
4. Step 4: Simplify right side
   13,196.50x = 969,621,751.56
5. Step 5: Solve for x
   x = 969,621,751.56/13,196.50
6. Step 6: Final answer
   x = 73,475.68