Finding the Third Proportional to 59,672 and 83,624

Step by Step Solution

1. Step 1: Write the proportion equation
   59,672 : 83,624 = 83,624 : x
2. Step 2: Convert to fraction form
   59,672/83,624 = 83,624/x
3. Step 3: Cross multiply
   59,672x = 83,624 × 83,624
4. Step 4: Simplify right side
   59,672x = 6,992,973,376
5. Step 5: Solve for x
   x = 6,992,973,376/59,672
6. Step 6: Final answer
   x = 117,190.20