Finding the Third Proportional to 36,560 and 78,046

Step by Step Solution

1. Step 1: Write the proportion equation
   36,560 : 78,046 = 78,046 : x
2. Step 2: Convert to fraction form
   36,560/78,046 = 78,046/x
3. Step 3: Cross multiply
   36,560x = 78,046 × 78,046
4. Step 4: Simplify right side
   36,560x = 6,091,178,116
5. Step 5: Solve for x
   x = 6,091,178,116/36,560
6. Step 6: Final answer
   x = 166,607.72