Finding the Third Proportional to 54,769.50 and 77,085

Step by Step Solution

1. Step 1: Write the proportion equation
   54,769.50 : 77,085 = 77,085 : x
2. Step 2: Convert to fraction form
   54,769.50/77,085 = 77,085/x
3. Step 3: Cross multiply
   54,769.50x = 77,085 × 77,085
4. Step 4: Simplify right side
   54,769.50x = 5,942,097,225
5. Step 5: Solve for x
   x = 5,942,097,225/54,769.50
6. Step 6: Final answer
   x = 108,492.81