Finding the Third Proportional to 37,413 and 53,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,413 : 53,365.50 = 53,365.50 : x
2. Step 2: Convert to fraction form
   37,413/53,365.50 = 53,365.50/x
3. Step 3: Cross multiply
   37,413x = 53,365.50 × 53,365.50
4. Step 4: Simplify right side
   37,413x = 2,847,876,590.25
5. Step 5: Solve for x
   x = 2,847,876,590.25/37,413
6. Step 6: Final answer
   x = 76,119.97