Finding the Third Proportional to 59,638.50 and 83,583

Step by Step Solution

1. Step 1: Write the proportion equation
   59,638.50 : 83,583 = 83,583 : x
2. Step 2: Convert to fraction form
   59,638.50/83,583 = 83,583/x
3. Step 3: Cross multiply
   59,638.50x = 83,583 × 83,583
4. Step 4: Simplify right side
   59,638.50x = 6,986,117,889
5. Step 5: Solve for x
   x = 6,986,117,889/59,638.50
6. Step 6: Final answer
   x = 117,141.07