Finding the Third Proportional to 19,872 and 42,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,872 : 42,112.50 = 42,112.50 : x
2. Step 2: Convert to fraction form
   19,872/42,112.50 = 42,112.50/x
3. Step 3: Cross multiply
   19,872x = 42,112.50 × 42,112.50
4. Step 4: Simplify right side
   19,872x = 1,773,462,656.25
5. Step 5: Solve for x
   x = 1,773,462,656.25/19,872
6. Step 6: Final answer
   x = 89,244.30