Finding the Third Proportional to 33,662.14 and 51,192.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,662.14 : 51,192.63 = 51,192.63 : x
2. Step 2: Convert to fraction form
   33,662.14/51,192.63 = 51,192.63/x
3. Step 3: Cross multiply
   33,662.14x = 51,192.63 × 51,192.63
4. Step 4: Simplify right side
   33,662.14x = 2,620,685,654.28
5. Step 5: Solve for x
   x = 2,620,685,654.28/33,662.14
6. Step 6: Final answer
   x = 77,852.61