Finding the Third Proportional to 32,710.50 and 72,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,710.50 : 72,823.50 = 72,823.50 : x
2. Step 2: Convert to fraction form
   32,710.50/72,823.50 = 72,823.50/x
3. Step 3: Cross multiply
   32,710.50x = 72,823.50 × 72,823.50
4. Step 4: Simplify right side
   32,710.50x = 5,303,262,152.25
5. Step 5: Solve for x
   x = 5,303,262,152.25/32,710.50
6. Step 6: Final answer
   x = 162,127.21