Finding the Third Proportional to 2,969.88 and 4,702.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,969.88 : 4,702.38 = 4,702.38 : x
2. Step 2: Convert to fraction form
   2,969.88/4,702.38 = 4,702.38/x
3. Step 3: Cross multiply
   2,969.88x = 4,702.38 × 4,702.38
4. Step 4: Simplify right side
   2,969.88x = 22,112,330.64
5. Step 5: Solve for x
   x = 22,112,330.64/2,969.88
6. Step 6: Final answer
   x = 7,445.54