Finding the Third Proportional to 3,830.06 and 4,987.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.06 : 4,987.69 = 4,987.69 : x
2. Step 2: Convert to fraction form
   3,830.06/4,987.69 = 4,987.69/x
3. Step 3: Cross multiply
   3,830.06x = 4,987.69 × 4,987.69
4. Step 4: Simplify right side
   3,830.06x = 24,877,026.60
5. Step 5: Solve for x
   x = 24,877,026.60/3,830.06
6. Step 6: Final answer
   x = 6,495.20