Finding the Third Proportional to 19,453.50 and 31,029.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,453.50 : 31,029.75 = 31,029.75 : x
2. Step 2: Convert to fraction form
   19,453.50/31,029.75 = 31,029.75/x
3. Step 3: Cross multiply
   19,453.50x = 31,029.75 × 31,029.75
4. Step 4: Simplify right side
   19,453.50x = 962,845,385.06
5. Step 5: Solve for x
   x = 962,845,385.06/19,453.50
6. Step 6: Final answer
   x = 49,494.71