Finding the Third Proportional to 37,780 and 52,960

Step by Step Solution

1. Step 1: Write the proportion equation
   37,780 : 52,960 = 52,960 : x
2. Step 2: Convert to fraction form
   37,780/52,960 = 52,960/x
3. Step 3: Cross multiply
   37,780x = 52,960 × 52,960
4. Step 4: Simplify right side
   37,780x = 2,804,761,600
5. Step 5: Solve for x
   x = 2,804,761,600/37,780
6. Step 6: Final answer
   x = 74,239.32