Finding the Third Proportional to 19,123.50 and 26,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,123.50 : 26,882.50 = 26,882.50 : x
2. Step 2: Convert to fraction form
   19,123.50/26,882.50 = 26,882.50/x
3. Step 3: Cross multiply
   19,123.50x = 26,882.50 × 26,882.50
4. Step 4: Simplify right side
   19,123.50x = 722,668,806.25
5. Step 5: Solve for x
   x = 722,668,806.25/19,123.50
6. Step 6: Final answer
   x = 37,789.57