Finding the Third Proportional to 19,699 and 32,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,699 : 32,827.50 = 32,827.50 : x
2. Step 2: Convert to fraction form
   19,699/32,827.50 = 32,827.50/x
3. Step 3: Cross multiply
   19,699x = 32,827.50 × 32,827.50
4. Step 4: Simplify right side
   19,699x = 1,077,644,756.25
5. Step 5: Solve for x
   x = 1,077,644,756.25/19,699
6. Step 6: Final answer
   x = 54,705.56