Finding the Third Proportional to 10,258 and 16,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258 : 16,102.50 = 16,102.50 : x
2. Step 2: Convert to fraction form
   10,258/16,102.50 = 16,102.50/x
3. Step 3: Cross multiply
   10,258x = 16,102.50 × 16,102.50
4. Step 4: Simplify right side
   10,258x = 259,290,506.25
5. Step 5: Solve for x
   x = 259,290,506.25/10,258
6. Step 6: Final answer
   x = 25,276.91