Finding the Third Proportional to 38,977.69 and 84,192.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,977.69 : 84,192.38 = 84,192.38 : x
2. Step 2: Convert to fraction form
   38,977.69/84,192.38 = 84,192.38/x
3. Step 3: Cross multiply
   38,977.69x = 84,192.38 × 84,192.38
4. Step 4: Simplify right side
   38,977.69x = 7,088,356,008.14
5. Step 5: Solve for x
   x = 7,088,356,008.14/38,977.69
6. Step 6: Final answer
   x = 181,856.76