Finding the Third Proportional to 22,378.50 and 34,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,378.50 : 34,789.50 = 34,789.50 : x
2. Step 2: Convert to fraction form
   22,378.50/34,789.50 = 34,789.50/x
3. Step 3: Cross multiply
   22,378.50x = 34,789.50 × 34,789.50
4. Step 4: Simplify right side
   22,378.50x = 1,210,309,310.25
5. Step 5: Solve for x
   x = 1,210,309,310.25/22,378.50
6. Step 6: Final answer
   x = 54,083.58