Finding the Third Proportional to 2,358 and 5,072

Step by Step Solution

1. Step 1: Write the proportion equation
   2,358 : 5,072 = 5,072 : x
2. Step 2: Convert to fraction form
   2,358/5,072 = 5,072/x
3. Step 3: Cross multiply
   2,358x = 5,072 × 5,072
4. Step 4: Simplify right side
   2,358x = 25,725,184
5. Step 5: Solve for x
   x = 25,725,184/2,358
6. Step 6: Final answer
   x = 10,909.75