Finding the Third Proportional to 27,413 and 41,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,413 : 41,419.50 = 41,419.50 : x
2. Step 2: Convert to fraction form
   27,413/41,419.50 = 41,419.50/x
3. Step 3: Cross multiply
   27,413x = 41,419.50 × 41,419.50
4. Step 4: Simplify right side
   27,413x = 1,715,574,980.25
5. Step 5: Solve for x
   x = 1,715,574,980.25/27,413
6. Step 6: Final answer
   x = 62,582.53