Finding the Third Proportional to 42,462 and 59,400

Step by Step Solution

1. Step 1: Write the proportion equation
   42,462 : 59,400 = 59,400 : x
2. Step 2: Convert to fraction form
   42,462/59,400 = 59,400/x
3. Step 3: Cross multiply
   42,462x = 59,400 × 59,400
4. Step 4: Simplify right side
   42,462x = 3,528,360,000
5. Step 5: Solve for x
   x = 3,528,360,000/42,462
6. Step 6: Final answer
   x = 83,094.53