Finding the Third Proportional to 19,624 and 42,468

Step by Step Solution

1. Step 1: Write the proportion equation
   19,624 : 42,468 = 42,468 : x
2. Step 2: Convert to fraction form
   19,624/42,468 = 42,468/x
3. Step 3: Cross multiply
   19,624x = 42,468 × 42,468
4. Step 4: Simplify right side
   19,624x = 1,803,531,024
5. Step 5: Solve for x
   x = 1,803,531,024/19,624
6. Step 6: Final answer
   x = 91,904.35