Finding the Third Proportional to 19,005 and 45,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,005 : 45,724.50 = 45,724.50 : x
2. Step 2: Convert to fraction form
   19,005/45,724.50 = 45,724.50/x
3. Step 3: Cross multiply
   19,005x = 45,724.50 × 45,724.50
4. Step 4: Simplify right side
   19,005x = 2,090,729,900.25
5. Step 5: Solve for x
   x = 2,090,729,900.25/19,005
6. Step 6: Final answer
   x = 110,009.47