Finding the Third Proportional to 10,178.50 and 14,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.50 : 14,528.50 = 14,528.50 : x
2. Step 2: Convert to fraction form
   10,178.50/14,528.50 = 14,528.50/x
3. Step 3: Cross multiply
   10,178.50x = 14,528.50 × 14,528.50
4. Step 4: Simplify right side
   10,178.50x = 211,077,312.25
5. Step 5: Solve for x
   x = 211,077,312.25/10,178.50
6. Step 6: Final answer
   x = 20,737.57