Finding the Third Proportional to 35,938 and 76,412

Step by Step Solution

1. Step 1: Write the proportion equation
   35,938 : 76,412 = 76,412 : x
2. Step 2: Convert to fraction form
   35,938/76,412 = 76,412/x
3. Step 3: Cross multiply
   35,938x = 76,412 × 76,412
4. Step 4: Simplify right side
   35,938x = 5,838,793,744
5. Step 5: Solve for x
   x = 5,838,793,744/35,938
6. Step 6: Final answer
   x = 162,468.52