Finding the Third Proportional to 37,702 and 78,505

Step by Step Solution

1. Step 1: Write the proportion equation
   37,702 : 78,505 = 78,505 : x
2. Step 2: Convert to fraction form
   37,702/78,505 = 78,505/x
3. Step 3: Cross multiply
   37,702x = 78,505 × 78,505
4. Step 4: Simplify right side
   37,702x = 6,163,035,025
5. Step 5: Solve for x
   x = 6,163,035,025/37,702
6. Step 6: Final answer
   x = 163,467.06