Finding the Third Proportional to 33,994.13 and 74,784.38

Step by Step Solution

1. Step 1: Write the proportion equation
   33,994.13 : 74,784.38 = 74,784.38 : x
2. Step 2: Convert to fraction form
   33,994.13/74,784.38 = 74,784.38/x
3. Step 3: Cross multiply
   33,994.13x = 74,784.38 × 74,784.38
4. Step 4: Simplify right side
   33,994.13x = 5,592,702,744.14
5. Step 5: Solve for x
   x = 5,592,702,744.14/33,994.13
6. Step 6: Final answer
   x = 164,519.69