Finding the Third Proportional to 19,098 and 37,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,098 : 37,345.50 = 37,345.50 : x
2. Step 2: Convert to fraction form
   19,098/37,345.50 = 37,345.50/x
3. Step 3: Cross multiply
   19,098x = 37,345.50 × 37,345.50
4. Step 4: Simplify right side
   19,098x = 1,394,686,370.25
5. Step 5: Solve for x
   x = 1,394,686,370.25/19,098
6. Step 6: Final answer
   x = 73,027.88