Finding the Third Proportional to 35,780 and 47,064

Step by Step Solution

1. Step 1: Write the proportion equation
   35,780 : 47,064 = 47,064 : x
2. Step 2: Convert to fraction form
   35,780/47,064 = 47,064/x
3. Step 3: Cross multiply
   35,780x = 47,064 × 47,064
4. Step 4: Simplify right side
   35,780x = 2,215,020,096
5. Step 5: Solve for x
   x = 2,215,020,096/35,780
6. Step 6: Final answer
   x = 61,906.65