Finding the Third Proportional to 35,680 and 54,984

Step by Step Solution

1. Step 1: Write the proportion equation
   35,680 : 54,984 = 54,984 : x
2. Step 2: Convert to fraction form
   35,680/54,984 = 54,984/x
3. Step 3: Cross multiply
   35,680x = 54,984 × 54,984
4. Step 4: Simplify right side
   35,680x = 3,023,240,256
5. Step 5: Solve for x
   x = 3,023,240,256/35,680
6. Step 6: Final answer
   x = 84,732.07