Finding the Third Proportional to 27,165 and 43,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,165 : 43,222.50 = 43,222.50 : x
2. Step 2: Convert to fraction form
   27,165/43,222.50 = 43,222.50/x
3. Step 3: Cross multiply
   27,165x = 43,222.50 × 43,222.50
4. Step 4: Simplify right side
   27,165x = 1,868,184,506.25
5. Step 5: Solve for x
   x = 1,868,184,506.25/27,165
6. Step 6: Final answer
   x = 68,771.75