Finding the Third Proportional to 27,309 and 41,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,309 : 41,053.50 = 41,053.50 : x
2. Step 2: Convert to fraction form
   27,309/41,053.50 = 41,053.50/x
3. Step 3: Cross multiply
   27,309x = 41,053.50 × 41,053.50
4. Step 4: Simplify right side
   27,309x = 1,685,389,862.25
5. Step 5: Solve for x
   x = 1,685,389,862.25/27,309
6. Step 6: Final answer
   x = 61,715.55