Finding the Third Proportional to 40,752 and 84,123

Step by Step Solution

1. Step 1: Write the proportion equation
   40,752 : 84,123 = 84,123 : x
2. Step 2: Convert to fraction form
   40,752/84,123 = 84,123/x
3. Step 3: Cross multiply
   40,752x = 84,123 × 84,123
4. Step 4: Simplify right side
   40,752x = 7,076,679,129
5. Step 5: Solve for x
   x = 7,076,679,129/40,752
6. Step 6: Final answer
   x = 173,652.31