Finding the Third Proportional to 37,040 and 77,152

Step by Step Solution

1. Step 1: Write the proportion equation
   37,040 : 77,152 = 77,152 : x
2. Step 2: Convert to fraction form
   37,040/77,152 = 77,152/x
3. Step 3: Cross multiply
   37,040x = 77,152 × 77,152
4. Step 4: Simplify right side
   37,040x = 5,952,431,104
5. Step 5: Solve for x
   x = 5,952,431,104/37,040
6. Step 6: Final answer
   x = 160,702.78