Finding the Third Proportional to 31,413 and 41,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,413 : 41,287.50 = 41,287.50 : x
2. Step 2: Convert to fraction form
   31,413/41,287.50 = 41,287.50/x
3. Step 3: Cross multiply
   31,413x = 41,287.50 × 41,287.50
4. Step 4: Simplify right side
   31,413x = 1,704,657,656.25
5. Step 5: Solve for x
   x = 1,704,657,656.25/31,413
6. Step 6: Final answer
   x = 54,265.99