Finding the Third Proportional to 5,746.50 and 13,916.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,746.50 : 13,916.25 = 13,916.25 : x
2. Step 2: Convert to fraction form
   5,746.50/13,916.25 = 13,916.25/x
3. Step 3: Cross multiply
   5,746.50x = 13,916.25 × 13,916.25
4. Step 4: Simplify right side
   5,746.50x = 193,662,014.06
5. Step 5: Solve for x
   x = 193,662,014.06/5,746.50
6. Step 6: Final answer
   x = 33,700.86