Finding the Third Proportional to 36,669 and 78,090

Step by Step Solution

1. Step 1: Write the proportion equation
   36,669 : 78,090 = 78,090 : x
2. Step 2: Convert to fraction form
   36,669/78,090 = 78,090/x
3. Step 3: Cross multiply
   36,669x = 78,090 × 78,090
4. Step 4: Simplify right side
   36,669x = 6,098,048,100
5. Step 5: Solve for x
   x = 6,098,048,100/36,669
6. Step 6: Final answer
   x = 166,299.82