Finding the Third Proportional to 36,561 and 78,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,561 : 78,670.50 = 78,670.50 : x
2. Step 2: Convert to fraction form
   36,561/78,670.50 = 78,670.50/x
3. Step 3: Cross multiply
   36,561x = 78,670.50 × 78,670.50
4. Step 4: Simplify right side
   36,561x = 6,189,047,570.25
5. Step 5: Solve for x
   x = 6,189,047,570.25/36,561
6. Step 6: Final answer
   x = 169,280.04