Finding the Third Proportional to 57,384 and 86,076

Step by Step Solution

1. Step 1: Write the proportion equation
   57,384 : 86,076 = 86,076 : x
2. Step 2: Convert to fraction form
   57,384/86,076 = 86,076/x
3. Step 3: Cross multiply
   57,384x = 86,076 × 86,076
4. Step 4: Simplify right side
   57,384x = 7,409,077,776
5. Step 5: Solve for x
   x = 7,409,077,776/57,384
6. Step 6: Final answer
   x = 129,114