Finding the Third Proportional to 51,618.50 and 78,142

Step by Step Solution

1. Step 1: Write the proportion equation
   51,618.50 : 78,142 = 78,142 : x
2. Step 2: Convert to fraction form
   51,618.50/78,142 = 78,142/x
3. Step 3: Cross multiply
   51,618.50x = 78,142 × 78,142
4. Step 4: Simplify right side
   51,618.50x = 6,106,172,164
5. Step 5: Solve for x
   x = 6,106,172,164/51,618.50
6. Step 6: Final answer
   x = 118,294.26