Finding the Third Proportional to 10,000 and 19,700

Step by Step Solution

1. Step 1: Write the proportion equation
   10,000 : 19,700 = 19,700 : x
2. Step 2: Convert to fraction form
   10,000/19,700 = 19,700/x
3. Step 3: Cross multiply
   10,000x = 19,700 × 19,700
4. Step 4: Simplify right side
   10,000x = 388,090,000
5. Step 5: Solve for x
   x = 388,090,000/10,000
6. Step 6: Final answer
   x = 38,809