Finding the Third Proportional to 23,111 and 37,208

Step by Step Solution

1. Step 1: Write the proportion equation
   23,111 : 37,208 = 37,208 : x
2. Step 2: Convert to fraction form
   23,111/37,208 = 37,208/x
3. Step 3: Cross multiply
   23,111x = 37,208 × 37,208
4. Step 4: Simplify right side
   23,111x = 1,384,435,264
5. Step 5: Solve for x
   x = 1,384,435,264/23,111
6. Step 6: Final answer
   x = 59,903.74