Finding the Third Proportional to 33,594 and 51,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,594 : 51,196.50 = 51,196.50 : x
2. Step 2: Convert to fraction form
   33,594/51,196.50 = 51,196.50/x
3. Step 3: Cross multiply
   33,594x = 51,196.50 × 51,196.50
4. Step 4: Simplify right side
   33,594x = 2,621,081,612.25
5. Step 5: Solve for x
   x = 2,621,081,612.25/33,594
6. Step 6: Final answer
   x = 78,022.31