Finding the Third Proportional to 32,594.50 and 78,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,594.50 : 78,495.50 = 78,495.50 : x
2. Step 2: Convert to fraction form
   32,594.50/78,495.50 = 78,495.50/x
3. Step 3: Cross multiply
   32,594.50x = 78,495.50 × 78,495.50
4. Step 4: Simplify right side
   32,594.50x = 6,161,543,520.25
5. Step 5: Solve for x
   x = 6,161,543,520.25/32,594.50
6. Step 6: Final answer
   x = 189,036.30