Finding the Third Proportional to 32,921 and 53,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,921 : 53,017.50 = 53,017.50 : x
2. Step 2: Convert to fraction form
   32,921/53,017.50 = 53,017.50/x
3. Step 3: Cross multiply
   32,921x = 53,017.50 × 53,017.50
4. Step 4: Simplify right side
   32,921x = 2,810,855,306.25
5. Step 5: Solve for x
   x = 2,810,855,306.25/32,921
6. Step 6: Final answer
   x = 85,381.83