Finding the Third Proportional to 6,258 and 13,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,258 : 13,746.50 = 13,746.50 : x
2. Step 2: Convert to fraction form
   6,258/13,746.50 = 13,746.50/x
3. Step 3: Cross multiply
   6,258x = 13,746.50 × 13,746.50
4. Step 4: Simplify right side
   6,258x = 188,966,262.25
5. Step 5: Solve for x
   x = 188,966,262.25/6,258
6. Step 6: Final answer
   x = 30,195.95