Finding the Third Proportional to 30,752 and 67,523

Step by Step Solution

1. Step 1: Write the proportion equation
   30,752 : 67,523 = 67,523 : x
2. Step 2: Convert to fraction form
   30,752/67,523 = 67,523/x
3. Step 3: Cross multiply
   30,752x = 67,523 × 67,523
4. Step 4: Simplify right side
   30,752x = 4,559,355,529
5. Step 5: Solve for x
   x = 4,559,355,529/30,752
6. Step 6: Final answer
   x = 148,262.08