Finding the Third Proportional to 37,665 and 78,450

Step by Step Solution

1. Step 1: Write the proportion equation
   37,665 : 78,450 = 78,450 : x
2. Step 2: Convert to fraction form
   37,665/78,450 = 78,450/x
3. Step 3: Cross multiply
   37,665x = 78,450 × 78,450
4. Step 4: Simplify right side
   37,665x = 6,154,402,500
5. Step 5: Solve for x
   x = 6,154,402,500/37,665
6. Step 6: Final answer
   x = 163,398.45