Finding the Third Proportional to 32,769 and 52,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,769 : 52,222.50 = 52,222.50 : x
2. Step 2: Convert to fraction form
   32,769/52,222.50 = 52,222.50/x
3. Step 3: Cross multiply
   32,769x = 52,222.50 × 52,222.50
4. Step 4: Simplify right side
   32,769x = 2,727,189,506.25
5. Step 5: Solve for x
   x = 2,727,189,506.25/32,769
6. Step 6: Final answer
   x = 83,224.68