Finding the Third Proportional to 35,984 and 56,321

Step by Step Solution

1. Step 1: Write the proportion equation
   35,984 : 56,321 = 56,321 : x
2. Step 2: Convert to fraction form
   35,984/56,321 = 56,321/x
3. Step 3: Cross multiply
   35,984x = 56,321 × 56,321
4. Step 4: Simplify right side
   35,984x = 3,172,055,041
5. Step 5: Solve for x
   x = 3,172,055,041/35,984
6. Step 6: Final answer
   x = 88,151.82