Finding the Third Proportional to 37,028 and 78,470

Step by Step Solution

1. Step 1: Write the proportion equation
   37,028 : 78,470 = 78,470 : x
2. Step 2: Convert to fraction form
   37,028/78,470 = 78,470/x
3. Step 3: Cross multiply
   37,028x = 78,470 × 78,470
4. Step 4: Simplify right side
   37,028x = 6,157,540,900
5. Step 5: Solve for x
   x = 6,157,540,900/37,028
6. Step 6: Final answer
   x = 166,294.18