Finding the Third Proportional to 23,070 and 33,785

Step by Step Solution

1. Step 1: Write the proportion equation
   23,070 : 33,785 = 33,785 : x
2. Step 2: Convert to fraction form
   23,070/33,785 = 33,785/x
3. Step 3: Cross multiply
   23,070x = 33,785 × 33,785
4. Step 4: Simplify right side
   23,070x = 1,141,426,225
5. Step 5: Solve for x
   x = 1,141,426,225/23,070
6. Step 6: Final answer
   x = 49,476.65