Finding the Third Proportional to 37,764 and 77,172

Step by Step Solution

1. Step 1: Write the proportion equation
   37,764 : 77,172 = 77,172 : x
2. Step 2: Convert to fraction form
   37,764/77,172 = 77,172/x
3. Step 3: Cross multiply
   37,764x = 77,172 × 77,172
4. Step 4: Simplify right side
   37,764x = 5,955,517,584
5. Step 5: Solve for x
   x = 5,955,517,584/37,764
6. Step 6: Final answer
   x = 157,703.57