Finding the Third Proportional to 32,946.75 and 72,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,946.75 : 72,166.50 = 72,166.50 : x
2. Step 2: Convert to fraction form
   32,946.75/72,166.50 = 72,166.50/x
3. Step 3: Cross multiply
   32,946.75x = 72,166.50 × 72,166.50
4. Step 4: Simplify right side
   32,946.75x = 5,208,003,722.25
5. Step 5: Solve for x
   x = 5,208,003,722.25/32,946.75
6. Step 6: Final answer
   x = 158,073.37