Finding the Third Proportional to 45,792 and 72,375.75

Step by Step Solution

1. Step 1: Write the proportion equation
   45,792 : 72,375.75 = 72,375.75 : x
2. Step 2: Convert to fraction form
   45,792/72,375.75 = 72,375.75/x
3. Step 3: Cross multiply
   45,792x = 72,375.75 × 72,375.75
4. Step 4: Simplify right side
   45,792x = 5,238,249,188.06
5. Step 5: Solve for x
   x = 5,238,249,188.06/45,792
6. Step 6: Final answer
   x = 114,392.23