Finding the Third Proportional to 14,178 and 33,115.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,178 : 33,115.50 = 33,115.50 : x
2. Step 2: Convert to fraction form
   14,178/33,115.50 = 33,115.50/x
3. Step 3: Cross multiply
   14,178x = 33,115.50 × 33,115.50
4. Step 4: Simplify right side
   14,178x = 1,096,636,340.25
5. Step 5: Solve for x
   x = 1,096,636,340.25/14,178
6. Step 6: Final answer
   x = 77,347.75