Finding the Third Proportional to 37,608.50 and 78,369

Step by Step Solution

1. Step 1: Write the proportion equation
   37,608.50 : 78,369 = 78,369 : x
2. Step 2: Convert to fraction form
   37,608.50/78,369 = 78,369/x
3. Step 3: Cross multiply
   37,608.50x = 78,369 × 78,369
4. Step 4: Simplify right side
   37,608.50x = 6,141,700,161
5. Step 5: Solve for x
   x = 6,141,700,161/37,608.50
6. Step 6: Final answer
   x = 163,306.17