Finding the Third Proportional to 36,920 and 56,460

Step by Step Solution

1. Step 1: Write the proportion equation
   36,920 : 56,460 = 56,460 : x
2. Step 2: Convert to fraction form
   36,920/56,460 = 56,460/x
3. Step 3: Cross multiply
   36,920x = 56,460 × 56,460
4. Step 4: Simplify right side
   36,920x = 3,187,731,600
5. Step 5: Solve for x
   x = 3,187,731,600/36,920
6. Step 6: Final answer
   x = 86,341.59