Finding the Third Proportional to 14,664 and 28,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,664 : 28,594.50 = 28,594.50 : x
2. Step 2: Convert to fraction form
   14,664/28,594.50 = 28,594.50/x
3. Step 3: Cross multiply
   14,664x = 28,594.50 × 28,594.50
4. Step 4: Simplify right side
   14,664x = 817,645,430.25
5. Step 5: Solve for x
   x = 817,645,430.25/14,664
6. Step 6: Final answer
   x = 55,758.69