Finding the Third Proportional to 13,770 and 30,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 30,178.50 = 30,178.50 : x
2. Step 2: Convert to fraction form
   13,770/30,178.50 = 30,178.50/x
3. Step 3: Cross multiply
   13,770x = 30,178.50 × 30,178.50
4. Step 4: Simplify right side
   13,770x = 910,741,862.25
5. Step 5: Solve for x
   x = 910,741,862.25/13,770
6. Step 6: Final answer
   x = 66,139.57