Finding the Third Proportional to 2,981.50 and 4,702.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,981.50 : 4,702.90 = 4,702.90 : x
2. Step 2: Convert to fraction form
   2,981.50/4,702.90 = 4,702.90/x
3. Step 3: Cross multiply
   2,981.50x = 4,702.90 × 4,702.90
4. Step 4: Simplify right side
   2,981.50x = 22,117,308.83
5. Step 5: Solve for x
   x = 22,117,308.83/2,981.50
6. Step 6: Final answer
   x = 7,418.19