Finding the Third Proportional to 10,624.50 and 18,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624.50 : 18,697.50 = 18,697.50 : x
2. Step 2: Convert to fraction form
   10,624.50/18,697.50 = 18,697.50/x
3. Step 3: Cross multiply
   10,624.50x = 18,697.50 × 18,697.50
4. Step 4: Simplify right side
   10,624.50x = 349,596,506.25
5. Step 5: Solve for x
   x = 349,596,506.25/10,624.50
6. Step 6: Final answer
   x = 32,904.75