Finding the Third Proportional to 59,621 and 83,565

Step by Step Solution

1. Step 1: Write the proportion equation
   59,621 : 83,565 = 83,565 : x
2. Step 2: Convert to fraction form
   59,621/83,565 = 83,565/x
3. Step 3: Cross multiply
   59,621x = 83,565 × 83,565
4. Step 4: Simplify right side
   59,621x = 6,983,109,225
5. Step 5: Solve for x
   x = 6,983,109,225/59,621
6. Step 6: Final answer
   x = 117,124.99