Finding the Third Proportional to 27,300 and 41,196

Step by Step Solution

1. Step 1: Write the proportion equation
   27,300 : 41,196 = 41,196 : x
2. Step 2: Convert to fraction form
   27,300/41,196 = 41,196/x
3. Step 3: Cross multiply
   27,300x = 41,196 × 41,196
4. Step 4: Simplify right side
   27,300x = 1,697,110,416
5. Step 5: Solve for x
   x = 1,697,110,416/27,300
6. Step 6: Final answer
   x = 62,165.22