Finding the Third Proportional to 37,128 and 78,396

Step by Step Solution

1. Step 1: Write the proportion equation
   37,128 : 78,396 = 78,396 : x
2. Step 2: Convert to fraction form
   37,128/78,396 = 78,396/x
3. Step 3: Cross multiply
   37,128x = 78,396 × 78,396
4. Step 4: Simplify right side
   37,128x = 6,145,932,816
5. Step 5: Solve for x
   x = 6,145,932,816/37,128
6. Step 6: Final answer
   x = 165,533.64