Finding the Third Proportional to 42,789 and 64,185

Step by Step Solution

1. Step 1: Write the proportion equation
   42,789 : 64,185 = 64,185 : x
2. Step 2: Convert to fraction form
   42,789/64,185 = 64,185/x
3. Step 3: Cross multiply
   42,789x = 64,185 × 64,185
4. Step 4: Simplify right side
   42,789x = 4,119,714,225
5. Step 5: Solve for x
   x = 4,119,714,225/42,789
6. Step 6: Final answer
   x = 96,279.75