Finding the Third Proportional to 23,202 and 50,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,202 : 50,098.50 = 50,098.50 : x
2. Step 2: Convert to fraction form
   23,202/50,098.50 = 50,098.50/x
3. Step 3: Cross multiply
   23,202x = 50,098.50 × 50,098.50
4. Step 4: Simplify right side
   23,202x = 2,509,859,702.25
5. Step 5: Solve for x
   x = 2,509,859,702.25/23,202
6. Step 6: Final answer
   x = 108,174.28