Finding the Third Proportional to 33,124 and 71,776

Step by Step Solution

1. Step 1: Write the proportion equation
   33,124 : 71,776 = 71,776 : x
2. Step 2: Convert to fraction form
   33,124/71,776 = 71,776/x
3. Step 3: Cross multiply
   33,124x = 71,776 × 71,776
4. Step 4: Simplify right side
   33,124x = 5,151,794,176
5. Step 5: Solve for x
   x = 5,151,794,176/33,124
6. Step 6: Final answer
   x = 155,530.56