Finding the Third Proportional to 36,289 and 55,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,289 : 55,513.50 = 55,513.50 : x
2. Step 2: Convert to fraction form
   36,289/55,513.50 = 55,513.50/x
3. Step 3: Cross multiply
   36,289x = 55,513.50 × 55,513.50
4. Step 4: Simplify right side
   36,289x = 3,081,748,682.25
5. Step 5: Solve for x
   x = 3,081,748,682.25/36,289
6. Step 6: Final answer
   x = 84,922.39