Finding the Third Proportional to 33,584.63 and 51,181.88

Step by Step Solution

1. Step 1: Write the proportion equation
   33,584.63 : 51,181.88 = 51,181.88 : x
2. Step 2: Convert to fraction form
   33,584.63/51,181.88 = 51,181.88/x
3. Step 3: Cross multiply
   33,584.63x = 51,181.88 × 51,181.88
4. Step 4: Simplify right side
   33,584.63x = 2,619,584,328.52
5. Step 5: Solve for x
   x = 2,619,584,328.52/33,584.63
6. Step 6: Final answer
   x = 77,999.51