Finding the Third Proportional to 32,194.50 and 47,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,194.50 : 47,329.50 = 47,329.50 : x
2. Step 2: Convert to fraction form
   32,194.50/47,329.50 = 47,329.50/x
3. Step 3: Cross multiply
   32,194.50x = 47,329.50 × 47,329.50
4. Step 4: Simplify right side
   32,194.50x = 2,240,081,570.25
5. Step 5: Solve for x
   x = 2,240,081,570.25/32,194.50
6. Step 6: Final answer
   x = 69,579.64