Finding the Third Proportional to 10,624 and 19,700

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 19,700 = 19,700 : x
2. Step 2: Convert to fraction form
   10,624/19,700 = 19,700/x
3. Step 3: Cross multiply
   10,624x = 19,700 × 19,700
4. Step 4: Simplify right side
   10,624x = 388,090,000
5. Step 5: Solve for x
   x = 388,090,000/10,624
6. Step 6: Final answer
   x = 36,529.56