Finding the Third Proportional to 72,420 and 102,510

Step by Step Solution

1. Step 1: Write the proportion equation
   72,420 : 102,510 = 102,510 : x
2. Step 2: Convert to fraction form
   72,420/102,510 = 102,510/x
3. Step 3: Cross multiply
   72,420x = 102,510 × 102,510
4. Step 4: Simplify right side
   72,420x = 10,508,300,100
5. Step 5: Solve for x
   x = 10,508,300,100/72,420
6. Step 6: Final answer
   x = 145,102.18