Finding the Third Proportional to 2,196.38 and 4,702.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.38 : 4,702.13 = 4,702.13 : x
2. Step 2: Convert to fraction form
   2,196.38/4,702.13 = 4,702.13/x
3. Step 3: Cross multiply
   2,196.38x = 4,702.13 × 4,702.13
4. Step 4: Simplify right side
   2,196.38x = 22,109,979.52
5. Step 5: Solve for x
   x = 22,109,979.52/2,196.38
6. Step 6: Final answer
   x = 10,066.58