Finding the Third Proportional to 23,218 and 31,046

Step by Step Solution

1. Step 1: Write the proportion equation
   23,218 : 31,046 = 31,046 : x
2. Step 2: Convert to fraction form
   23,218/31,046 = 31,046/x
3. Step 3: Cross multiply
   23,218x = 31,046 × 31,046
4. Step 4: Simplify right side
   23,218x = 963,854,116
5. Step 5: Solve for x
   x = 963,854,116/23,218
6. Step 6: Final answer
   x = 41,513.23