Finding the Third Proportional to 57,825 and 84,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,825 : 84,541.50 = 84,541.50 : x
2. Step 2: Convert to fraction form
   57,825/84,541.50 = 84,541.50/x
3. Step 3: Cross multiply
   57,825x = 84,541.50 × 84,541.50
4. Step 4: Simplify right side
   57,825x = 7,147,265,222.25
5. Step 5: Solve for x
   x = 7,147,265,222.25/57,825
6. Step 6: Final answer
   x = 123,601.65