Finding the Third Proportional to 2,705.63 and 5,830.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.63 : 5,830.88 = 5,830.88 : x
2. Step 2: Convert to fraction form
   2,705.63/5,830.88 = 5,830.88/x
3. Step 3: Cross multiply
   2,705.63x = 5,830.88 × 5,830.88
4. Step 4: Simplify right side
   2,705.63x = 33,999,103.27
5. Step 5: Solve for x
   x = 33,999,103.27/2,705.63
6. Step 6: Final answer
   x = 12,566.08