Finding the Third Proportional to 30,105 and 55,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,105 : 55,492.50 = 55,492.50 : x
2. Step 2: Convert to fraction form
   30,105/55,492.50 = 55,492.50/x
3. Step 3: Cross multiply
   30,105x = 55,492.50 × 55,492.50
4. Step 4: Simplify right side
   30,105x = 3,079,417,556.25
5. Step 5: Solve for x
   x = 3,079,417,556.25/30,105
6. Step 6: Final answer
   x = 102,289.24