Finding the Third Proportional to 59,724 and 83,712

Step by Step Solution

1. Step 1: Write the proportion equation
   59,724 : 83,712 = 83,712 : x
2. Step 2: Convert to fraction form
   59,724/83,712 = 83,712/x
3. Step 3: Cross multiply
   59,724x = 83,712 × 83,712
4. Step 4: Simplify right side
   59,724x = 7,007,698,944
5. Step 5: Solve for x
   x = 7,007,698,944/59,724
6. Step 6: Final answer
   x = 117,334.72