Finding the Third Proportional to 12,585 and 30,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,585 : 30,274.50 = 30,274.50 : x
2. Step 2: Convert to fraction form
   12,585/30,274.50 = 30,274.50/x
3. Step 3: Cross multiply
   12,585x = 30,274.50 × 30,274.50
4. Step 4: Simplify right side
   12,585x = 916,545,350.25
5. Step 5: Solve for x
   x = 916,545,350.25/12,585
6. Step 6: Final answer
   x = 72,828.39