Finding the Third Proportional to 23,852 and 47,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,852 : 47,102.50 = 47,102.50 : x
2. Step 2: Convert to fraction form
   23,852/47,102.50 = 47,102.50/x
3. Step 3: Cross multiply
   23,852x = 47,102.50 × 47,102.50
4. Step 4: Simplify right side
   23,852x = 2,218,645,506.25
5. Step 5: Solve for x
   x = 2,218,645,506.25/23,852
6. Step 6: Final answer
   x = 93,017.17