Finding the Third Proportional to 23,230 and 31,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,230 : 31,213.50 = 31,213.50 : x
2. Step 2: Convert to fraction form
   23,230/31,213.50 = 31,213.50/x
3. Step 3: Cross multiply
   23,230x = 31,213.50 × 31,213.50
4. Step 4: Simplify right side
   23,230x = 974,282,582.25
5. Step 5: Solve for x
   x = 974,282,582.25/23,230
6. Step 6: Final answer
   x = 41,940.71