Finding the Third Proportional to 59,507 and 85,984

Step by Step Solution

1. Step 1: Write the proportion equation
   59,507 : 85,984 = 85,984 : x
2. Step 2: Convert to fraction form
   59,507/85,984 = 85,984/x
3. Step 3: Cross multiply
   59,507x = 85,984 × 85,984
4. Step 4: Simplify right side
   59,507x = 7,393,248,256
5. Step 5: Solve for x
   x = 7,393,248,256/59,507
6. Step 6: Final answer
   x = 124,241.66