Finding the Third Proportional to 72,267 and 102,712

Step by Step Solution

1. Step 1: Write the proportion equation
   72,267 : 102,712 = 102,712 : x
2. Step 2: Convert to fraction form
   72,267/102,712 = 102,712/x
3. Step 3: Cross multiply
   72,267x = 102,712 × 102,712
4. Step 4: Simplify right side
   72,267x = 10,549,754,944
5. Step 5: Solve for x
   x = 10,549,754,944/72,267
6. Step 6: Final answer
   x = 145,983.02