Finding the Third Proportional to 31,590 and 45,144

Step by Step Solution

1. Step 1: Write the proportion equation
   31,590 : 45,144 = 45,144 : x
2. Step 2: Convert to fraction form
   31,590/45,144 = 45,144/x
3. Step 3: Cross multiply
   31,590x = 45,144 × 45,144
4. Step 4: Simplify right side
   31,590x = 2,037,980,736
5. Step 5: Solve for x
   x = 2,037,980,736/31,590
6. Step 6: Final answer
   x = 64,513.48