Finding the Third Proportional to 16,258 and 23,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,258 : 23,767.50 = 23,767.50 : x
2. Step 2: Convert to fraction form
   16,258/23,767.50 = 23,767.50/x
3. Step 3: Cross multiply
   16,258x = 23,767.50 × 23,767.50
4. Step 4: Simplify right side
   16,258x = 564,894,056.25
5. Step 5: Solve for x
   x = 564,894,056.25/16,258
6. Step 6: Final answer
   x = 34,745.61