Finding the Third Proportional to 52,640 and 77,328

Step by Step Solution

1. Step 1: Write the proportion equation
   52,640 : 77,328 = 77,328 : x
2. Step 2: Convert to fraction form
   52,640/77,328 = 77,328/x
3. Step 3: Cross multiply
   52,640x = 77,328 × 77,328
4. Step 4: Simplify right side
   52,640x = 5,979,619,584
5. Step 5: Solve for x
   x = 5,979,619,584/52,640
6. Step 6: Final answer
   x = 113,594.60