Finding the Third Proportional to 2,893.50 and 4,460.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,893.50 : 4,460.34 = 4,460.34 : x
2. Step 2: Convert to fraction form
   2,893.50/4,460.34 = 4,460.34/x
3. Step 3: Cross multiply
   2,893.50x = 4,460.34 × 4,460.34
4. Step 4: Simplify right side
   2,893.50x = 19,894,666.37
5. Step 5: Solve for x
   x = 19,894,666.37/2,893.50
6. Step 6: Final answer
   x = 6,875.64