Finding the Third Proportional to 33,262 and 72,776

Step by Step Solution

1. Step 1: Write the proportion equation
   33,262 : 72,776 = 72,776 : x
2. Step 2: Convert to fraction form
   33,262/72,776 = 72,776/x
3. Step 3: Cross multiply
   33,262x = 72,776 × 72,776
4. Step 4: Simplify right side
   33,262x = 5,296,346,176
5. Step 5: Solve for x
   x = 5,296,346,176/33,262
6. Step 6: Final answer
   x = 159,231.14