Finding the Third Proportional to 19,419 and 42,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,419 : 42,472.50 = 42,472.50 : x
2. Step 2: Convert to fraction form
   19,419/42,472.50 = 42,472.50/x
3. Step 3: Cross multiply
   19,419x = 42,472.50 × 42,472.50
4. Step 4: Simplify right side
   19,419x = 1,803,913,256.25
5. Step 5: Solve for x
   x = 1,803,913,256.25/19,419
6. Step 6: Final answer
   x = 92,894.24