Finding the Third Proportional to 54,441 and 84,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,441 : 84,082.50 = 84,082.50 : x
2. Step 2: Convert to fraction form
   54,441/84,082.50 = 84,082.50/x
3. Step 3: Cross multiply
   54,441x = 84,082.50 × 84,082.50
4. Step 4: Simplify right side
   54,441x = 7,069,866,806.25
5. Step 5: Solve for x
   x = 7,069,866,806.25/54,441
6. Step 6: Final answer
   x = 129,862.91