Finding the Third Proportional to 35,438 and 55,316

Step by Step Solution

1. Step 1: Write the proportion equation
   35,438 : 55,316 = 55,316 : x
2. Step 2: Convert to fraction form
   35,438/55,316 = 55,316/x
3. Step 3: Cross multiply
   35,438x = 55,316 × 55,316
4. Step 4: Simplify right side
   35,438x = 3,059,859,856
5. Step 5: Solve for x
   x = 3,059,859,856/35,438
6. Step 6: Final answer
   x = 86,344.03