Finding the Third Proportional to 45,624 and 61,512

Step by Step Solution

1. Step 1: Write the proportion equation
   45,624 : 61,512 = 61,512 : x
2. Step 2: Convert to fraction form
   45,624/61,512 = 61,512/x
3. Step 3: Cross multiply
   45,624x = 61,512 × 61,512
4. Step 4: Simplify right side
   45,624x = 3,783,726,144
5. Step 5: Solve for x
   x = 3,783,726,144/45,624
6. Step 6: Final answer
   x = 82,932.80