Finding the Third Proportional to 54,199.50 and 77,034

Step by Step Solution

1. Step 1: Write the proportion equation
   54,199.50 : 77,034 = 77,034 : x
2. Step 2: Convert to fraction form
   54,199.50/77,034 = 77,034/x
3. Step 3: Cross multiply
   54,199.50x = 77,034 × 77,034
4. Step 4: Simplify right side
   54,199.50x = 5,934,237,156
5. Step 5: Solve for x
   x = 5,934,237,156/54,199.50
6. Step 6: Final answer
   x = 109,488.78