Finding the Third Proportional to 27,169 and 41,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,169 : 41,308.50 = 41,308.50 : x
2. Step 2: Convert to fraction form
   27,169/41,308.50 = 41,308.50/x
3. Step 3: Cross multiply
   27,169x = 41,308.50 × 41,308.50
4. Step 4: Simplify right side
   27,169x = 1,706,392,172.25
5. Step 5: Solve for x
   x = 1,706,392,172.25/27,169
6. Step 6: Final answer
   x = 62,806.59