Finding the Third Proportional to 13,189.50 and 31,135.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,189.50 : 31,135.50 = 31,135.50 : x
2. Step 2: Convert to fraction form
   13,189.50/31,135.50 = 31,135.50/x
3. Step 3: Cross multiply
   13,189.50x = 31,135.50 × 31,135.50
4. Step 4: Simplify right side
   13,189.50x = 969,419,360.25
5. Step 5: Solve for x
   x = 969,419,360.25/13,189.50
6. Step 6: Final answer
   x = 73,499.33