Finding the Third Proportional to 32,097 and 77,316

Step by Step Solution

1. Step 1: Write the proportion equation
   32,097 : 77,316 = 77,316 : x
2. Step 2: Convert to fraction form
   32,097/77,316 = 77,316/x
3. Step 3: Cross multiply
   32,097x = 77,316 × 77,316
4. Step 4: Simplify right side
   32,097x = 5,977,763,856
5. Step 5: Solve for x
   x = 5,977,763,856/32,097
6. Step 6: Final answer
   x = 186,240.58