Finding the Third Proportional to 19,123.13 and 29,538.56

Step by Step Solution

1. Step 1: Write the proportion equation
   19,123.13 : 29,538.56 = 29,538.56 : x
2. Step 2: Convert to fraction form
   19,123.13/29,538.56 = 29,538.56/x
3. Step 3: Cross multiply
   19,123.13x = 29,538.56 × 29,538.56
4. Step 4: Simplify right side
   19,123.13x = 872,526,674.57
5. Step 5: Solve for x
   x = 872,526,674.57/19,123.13
6. Step 6: Final answer
   x = 45,626.78