Finding the Third Proportional to 23,677.50 and 54,819

Step by Step Solution

1. Step 1: Write the proportion equation
   23,677.50 : 54,819 = 54,819 : x
2. Step 2: Convert to fraction form
   23,677.50/54,819 = 54,819/x
3. Step 3: Cross multiply
   23,677.50x = 54,819 × 54,819
4. Step 4: Simplify right side
   23,677.50x = 3,005,122,761
5. Step 5: Solve for x
   x = 3,005,122,761/23,677.50
6. Step 6: Final answer
   x = 126,918.92