Finding the Third Proportional to 43,146 and 57,984

Step by Step Solution

1. Step 1: Write the proportion equation
   43,146 : 57,984 = 57,984 : x
2. Step 2: Convert to fraction form
   43,146/57,984 = 57,984/x
3. Step 3: Cross multiply
   43,146x = 57,984 × 57,984
4. Step 4: Simplify right side
   43,146x = 3,362,144,256
5. Step 5: Solve for x
   x = 3,362,144,256/43,146
6. Step 6: Final answer
   x = 77,924.82