Finding the Third Proportional to 51,592 and 77,196

Step by Step Solution

1. Step 1: Write the proportion equation
   51,592 : 77,196 = 77,196 : x
2. Step 2: Convert to fraction form
   51,592/77,196 = 77,196/x
3. Step 3: Cross multiply
   51,592x = 77,196 × 77,196
4. Step 4: Simplify right side
   51,592x = 5,959,222,416
5. Step 5: Solve for x
   x = 5,959,222,416/51,592
6. Step 6: Final answer
   x = 115,506.71