Finding the Third Proportional to 36,688 and 78,560

Step by Step Solution

1. Step 1: Write the proportion equation
   36,688 : 78,560 = 78,560 : x
2. Step 2: Convert to fraction form
   36,688/78,560 = 78,560/x
3. Step 3: Cross multiply
   36,688x = 78,560 × 78,560
4. Step 4: Simplify right side
   36,688x = 6,171,673,600
5. Step 5: Solve for x
   x = 6,171,673,600/36,688
6. Step 6: Final answer
   x = 168,220.50