Finding the Third Proportional to 38,946 and 58,680

Step by Step Solution

1. Step 1: Write the proportion equation
   38,946 : 58,680 = 58,680 : x
2. Step 2: Convert to fraction form
   38,946/58,680 = 58,680/x
3. Step 3: Cross multiply
   38,946x = 58,680 × 58,680
4. Step 4: Simplify right side
   38,946x = 3,443,342,400
5. Step 5: Solve for x
   x = 3,443,342,400/38,946
6. Step 6: Final answer
   x = 88,413.25