Finding the Third Proportional to 20,792 and 45,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,792 : 45,735.50 = 45,735.50 : x
2. Step 2: Convert to fraction form
   20,792/45,735.50 = 45,735.50/x
3. Step 3: Cross multiply
   20,792x = 45,735.50 × 45,735.50
4. Step 4: Simplify right side
   20,792x = 2,091,735,960.25
5. Step 5: Solve for x
   x = 2,091,735,960.25/20,792
6. Step 6: Final answer
   x = 100,602.92