Finding the Third Proportional to 37,761 and 52,920

Step by Step Solution

1. Step 1: Write the proportion equation
   37,761 : 52,920 = 52,920 : x
2. Step 2: Convert to fraction form
   37,761/52,920 = 52,920/x
3. Step 3: Cross multiply
   37,761x = 52,920 × 52,920
4. Step 4: Simplify right side
   37,761x = 2,800,526,400
5. Step 5: Solve for x
   x = 2,800,526,400/37,761
6. Step 6: Final answer
   x = 74,164.52