Finding the Third Proportional to 19,089 and 40,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,089 : 40,513.50 = 40,513.50 : x
2. Step 2: Convert to fraction form
   19,089/40,513.50 = 40,513.50/x
3. Step 3: Cross multiply
   19,089x = 40,513.50 × 40,513.50
4. Step 4: Simplify right side
   19,089x = 1,641,343,682.25
5. Step 5: Solve for x
   x = 1,641,343,682.25/19,089
6. Step 6: Final answer
   x = 85,983.74