Finding the Third Proportional to 32,664 and 51,790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,664 : 51,790.50 = 51,790.50 : x
2. Step 2: Convert to fraction form
   32,664/51,790.50 = 51,790.50/x
3. Step 3: Cross multiply
   32,664x = 51,790.50 × 51,790.50
4. Step 4: Simplify right side
   32,664x = 2,682,255,890.25
5. Step 5: Solve for x
   x = 2,682,255,890.25/32,664
6. Step 6: Final answer
   x = 82,116.58