Finding the Third Proportional to 54,598.50 and 77,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,598.50 : 77,341.50 = 77,341.50 : x
2. Step 2: Convert to fraction form
   54,598.50/77,341.50 = 77,341.50/x
3. Step 3: Cross multiply
   54,598.50x = 77,341.50 × 77,341.50
4. Step 4: Simplify right side
   54,598.50x = 5,981,707,622.25
5. Step 5: Solve for x
   x = 5,981,707,622.25/54,598.50
6. Step 6: Final answer
   x = 109,558.09