Finding the Third Proportional to 19,824.75 and 29,189.25

Step by Step Solution

1. Step 1: Write the proportion equation
   19,824.75 : 29,189.25 = 29,189.25 : x
2. Step 2: Convert to fraction form
   19,824.75/29,189.25 = 29,189.25/x
3. Step 3: Cross multiply
   19,824.75x = 29,189.25 × 29,189.25
4. Step 4: Simplify right side
   19,824.75x = 852,012,315.56
5. Step 5: Solve for x
   x = 852,012,315.56/19,824.75
6. Step 6: Final answer
   x = 42,977.20