Finding the Third Proportional to 32,806 and 77,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,806 : 77,021.50 = 77,021.50 : x
2. Step 2: Convert to fraction form
   32,806/77,021.50 = 77,021.50/x
3. Step 3: Cross multiply
   32,806x = 77,021.50 × 77,021.50
4. Step 4: Simplify right side
   32,806x = 5,932,311,462.25
5. Step 5: Solve for x
   x = 5,932,311,462.25/32,806
6. Step 6: Final answer
   x = 180,830.08