Finding the Third Proportional to 52,005.50 and 78,474

Step by Step Solution

1. Step 1: Write the proportion equation
   52,005.50 : 78,474 = 78,474 : x
2. Step 2: Convert to fraction form
   52,005.50/78,474 = 78,474/x
3. Step 3: Cross multiply
   52,005.50x = 78,474 × 78,474
4. Step 4: Simplify right side
   52,005.50x = 6,158,168,676
5. Step 5: Solve for x
   x = 6,158,168,676/52,005.50
6. Step 6: Final answer
   x = 118,413.80