Finding the Third Proportional to 14,286.38 and 21,702.94

Step by Step Solution

1. Step 1: Write the proportion equation
   14,286.38 : 21,702.94 = 21,702.94 : x
2. Step 2: Convert to fraction form
   14,286.38/21,702.94 = 21,702.94/x
3. Step 3: Cross multiply
   14,286.38x = 21,702.94 × 21,702.94
4. Step 4: Simplify right side
   14,286.38x = 471,017,496.13
5. Step 5: Solve for x
   x = 471,017,496.13/14,286.38
6. Step 6: Final answer
   x = 32,969.70