Finding the Third Proportional to 39,662.50 and 83,216

Step by Step Solution

1. Step 1: Write the proportion equation
   39,662.50 : 83,216 = 83,216 : x
2. Step 2: Convert to fraction form
   39,662.50/83,216 = 83,216/x
3. Step 3: Cross multiply
   39,662.50x = 83,216 × 83,216
4. Step 4: Simplify right side
   39,662.50x = 6,924,902,656
5. Step 5: Solve for x
   x = 6,924,902,656/39,662.50
6. Step 6: Final answer
   x = 174,595.72