Finding the Third Proportional to 72,552 and 102,696

Step by Step Solution

1. Step 1: Write the proportion equation
   72,552 : 102,696 = 102,696 : x
2. Step 2: Convert to fraction form
   72,552/102,696 = 102,696/x
3. Step 3: Cross multiply
   72,552x = 102,696 × 102,696
4. Step 4: Simplify right side
   72,552x = 10,546,468,416
5. Step 5: Solve for x
   x = 10,546,468,416/72,552
6. Step 6: Final answer
   x = 145,364.27