Finding the Third Proportional to 54,370.50 and 76,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,370.50 : 76,564.50 = 76,564.50 : x
2. Step 2: Convert to fraction form
   54,370.50/76,564.50 = 76,564.50/x
3. Step 3: Cross multiply
   54,370.50x = 76,564.50 × 76,564.50
4. Step 4: Simplify right side
   54,370.50x = 5,862,122,660.25
5. Step 5: Solve for x
   x = 5,862,122,660.25/54,370.50
6. Step 6: Final answer
   x = 107,818.08