Finding the Third Proportional to 31,575 and 73,776

Step by Step Solution

1. Step 1: Write the proportion equation
   31,575 : 73,776 = 73,776 : x
2. Step 2: Convert to fraction form
   31,575/73,776 = 73,776/x
3. Step 3: Cross multiply
   31,575x = 73,776 × 73,776
4. Step 4: Simplify right side
   31,575x = 5,442,898,176
5. Step 5: Solve for x
   x = 5,442,898,176/31,575
6. Step 6: Final answer
   x = 172,379.99