Finding the Third Proportional to 5,893.50 and 12,827.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,893.50 : 12,827.63 = 12,827.63 : x
2. Step 2: Convert to fraction form
   5,893.50/12,827.63 = 12,827.63/x
3. Step 3: Cross multiply
   5,893.50x = 12,827.63 × 12,827.63
4. Step 4: Simplify right side
   5,893.50x = 164,547,963.14
5. Step 5: Solve for x
   x = 164,547,963.14/5,893.50
6. Step 6: Final answer
   x = 27,920.24