Finding the Third Proportional to 19,842 and 31,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,842 : 31,903.50 = 31,903.50 : x
2. Step 2: Convert to fraction form
   19,842/31,903.50 = 31,903.50/x
3. Step 3: Cross multiply
   19,842x = 31,903.50 × 31,903.50
4. Step 4: Simplify right side
   19,842x = 1,017,833,312.25
5. Step 5: Solve for x
   x = 1,017,833,312.25/19,842
6. Step 6: Final answer
   x = 51,296.91