Finding the Third Proportional to 37,790 and 78,028

Step by Step Solution

1. Step 1: Write the proportion equation
   37,790 : 78,028 = 78,028 : x
2. Step 2: Convert to fraction form
   37,790/78,028 = 78,028/x
3. Step 3: Cross multiply
   37,790x = 78,028 × 78,028
4. Step 4: Simplify right side
   37,790x = 6,088,368,784
5. Step 5: Solve for x
   x = 6,088,368,784/37,790
6. Step 6: Final answer
   x = 161,110.58