Finding the Third Proportional to 14,184 and 33,130.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,184 : 33,130.50 = 33,130.50 : x
2. Step 2: Convert to fraction form
   14,184/33,130.50 = 33,130.50/x
3. Step 3: Cross multiply
   14,184x = 33,130.50 × 33,130.50
4. Step 4: Simplify right side
   14,184x = 1,097,630,030.25
5. Step 5: Solve for x
   x = 1,097,630,030.25/14,184
6. Step 6: Final answer
   x = 77,385.08