Finding the Third Proportional to 35,670 and 55,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,670 : 55,213.50 = 55,213.50 : x
2. Step 2: Convert to fraction form
   35,670/55,213.50 = 55,213.50/x
3. Step 3: Cross multiply
   35,670x = 55,213.50 × 55,213.50
4. Step 4: Simplify right side
   35,670x = 3,048,530,582.25
5. Step 5: Solve for x
   x = 3,048,530,582.25/35,670
6. Step 6: Final answer
   x = 85,464.83