Finding the Third Proportional to 10,000 and 19,466

Step by Step Solution

1. Step 1: Write the proportion equation
   10,000 : 19,466 = 19,466 : x
2. Step 2: Convert to fraction form
   10,000/19,466 = 19,466/x
3. Step 3: Cross multiply
   10,000x = 19,466 × 19,466
4. Step 4: Simplify right side
   10,000x = 378,925,156
5. Step 5: Solve for x
   x = 378,925,156/10,000
6. Step 6: Final answer
   x = 37,892.52