Finding the Third Proportional to 30,428 and 72,773

Step by Step Solution

1. Step 1: Write the proportion equation
   30,428 : 72,773 = 72,773 : x
2. Step 2: Convert to fraction form
   30,428/72,773 = 72,773/x
3. Step 3: Cross multiply
   30,428x = 72,773 × 72,773
4. Step 4: Simplify right side
   30,428x = 5,295,909,529
5. Step 5: Solve for x
   x = 5,295,909,529/30,428
6. Step 6: Final answer
   x = 174,047.24