Finding the Third Proportional to 13,232 and 31,986

Step by Step Solution

1. Step 1: Write the proportion equation
   13,232 : 31,986 = 31,986 : x
2. Step 2: Convert to fraction form
   13,232/31,986 = 31,986/x
3. Step 3: Cross multiply
   13,232x = 31,986 × 31,986
4. Step 4: Simplify right side
   13,232x = 1,023,104,196
5. Step 5: Solve for x
   x = 1,023,104,196/13,232
6. Step 6: Final answer
   x = 77,320.45