Finding the Third Proportional to 23,700 and 31,803

Step by Step Solution

1. Step 1: Write the proportion equation
   23,700 : 31,803 = 31,803 : x
2. Step 2: Convert to fraction form
   23,700/31,803 = 31,803/x
3. Step 3: Cross multiply
   23,700x = 31,803 × 31,803
4. Step 4: Simplify right side
   23,700x = 1,011,430,809
5. Step 5: Solve for x
   x = 1,011,430,809/23,700
6. Step 6: Final answer
   x = 42,676.41