Finding the Third Proportional to 19,824.75 and 26,429.63

Step by Step Solution

1. Step 1: Write the proportion equation
   19,824.75 : 26,429.63 = 26,429.63 : x
2. Step 2: Convert to fraction form
   19,824.75/26,429.63 = 26,429.63/x
3. Step 3: Cross multiply
   19,824.75x = 26,429.63 × 26,429.63
4. Step 4: Simplify right side
   19,824.75x = 698,525,077.64
5. Step 5: Solve for x
   x = 698,525,077.64/19,824.75
6. Step 6: Final answer
   x = 35,235.00