Finding the Third Proportional to 27,609 and 41,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,609 : 41,926.50 = 41,926.50 : x
2. Step 2: Convert to fraction form
   27,609/41,926.50 = 41,926.50/x
3. Step 3: Cross multiply
   27,609x = 41,926.50 × 41,926.50
4. Step 4: Simplify right side
   27,609x = 1,757,831,402.25
5. Step 5: Solve for x
   x = 1,757,831,402.25/27,609
6. Step 6: Final answer
   x = 63,668.78