Finding the Third Proportional to 13,413 and 31,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,413 : 31,618.50 = 31,618.50 : x
2. Step 2: Convert to fraction form
   13,413/31,618.50 = 31,618.50/x
3. Step 3: Cross multiply
   13,413x = 31,618.50 × 31,618.50
4. Step 4: Simplify right side
   13,413x = 999,729,542.25
5. Step 5: Solve for x
   x = 999,729,542.25/13,413
6. Step 6: Final answer
   x = 74,534.37