Finding the Third Proportional to 59,538.50 and 84,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,538.50 : 84,629.50 = 84,629.50 : x
2. Step 2: Convert to fraction form
   59,538.50/84,629.50 = 84,629.50/x
3. Step 3: Cross multiply
   59,538.50x = 84,629.50 × 84,629.50
4. Step 4: Simplify right side
   59,538.50x = 7,162,152,270.25
5. Step 5: Solve for x
   x = 7,162,152,270.25/59,538.50
6. Step 6: Final answer
   x = 120,294.47