Finding the Third Proportional to 23,117 and 33,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,117 : 33,852.50 = 33,852.50 : x
2. Step 2: Convert to fraction form
   23,117/33,852.50 = 33,852.50/x
3. Step 3: Cross multiply
   23,117x = 33,852.50 × 33,852.50
4. Step 4: Simplify right side
   23,117x = 1,145,991,756.25
5. Step 5: Solve for x
   x = 1,145,991,756.25/23,117
6. Step 6: Final answer
   x = 49,573.55