Finding the Third Proportional to 31,520 and 45,408

Step by Step Solution

1. Step 1: Write the proportion equation
   31,520 : 45,408 = 45,408 : x
2. Step 2: Convert to fraction form
   31,520/45,408 = 45,408/x
3. Step 3: Cross multiply
   31,520x = 45,408 × 45,408
4. Step 4: Simplify right side
   31,520x = 2,061,886,464
5. Step 5: Solve for x
   x = 2,061,886,464/31,520
6. Step 6: Final answer
   x = 65,415.18