Finding the Third Proportional to 59,400 and 83,574

Step by Step Solution

1. Step 1: Write the proportion equation
   59,400 : 83,574 = 83,574 : x
2. Step 2: Convert to fraction form
   59,400/83,574 = 83,574/x
3. Step 3: Cross multiply
   59,400x = 83,574 × 83,574
4. Step 4: Simplify right side
   59,400x = 6,984,613,476
5. Step 5: Solve for x
   x = 6,984,613,476/59,400
6. Step 6: Final answer
   x = 117,586.09