Finding the Third Proportional to 30,598.50 and 41,184

Step by Step Solution

1. Step 1: Write the proportion equation
   30,598.50 : 41,184 = 41,184 : x
2. Step 2: Convert to fraction form
   30,598.50/41,184 = 41,184/x
3. Step 3: Cross multiply
   30,598.50x = 41,184 × 41,184
4. Step 4: Simplify right side
   30,598.50x = 1,696,121,856
5. Step 5: Solve for x
   x = 1,696,121,856/30,598.50
6. Step 6: Final answer
   x = 55,431.54