Finding the Third Proportional to 13,776 and 30,174

Step by Step Solution

1. Step 1: Write the proportion equation
   13,776 : 30,174 = 30,174 : x
2. Step 2: Convert to fraction form
   13,776/30,174 = 30,174/x
3. Step 3: Cross multiply
   13,776x = 30,174 × 30,174
4. Step 4: Simplify right side
   13,776x = 910,470,276
5. Step 5: Solve for x
   x = 910,470,276/13,776
6. Step 6: Final answer
   x = 66,091.05