Finding the Third Proportional to 46,500 and 59,706

Step by Step Solution

1. Step 1: Write the proportion equation
   46,500 : 59,706 = 59,706 : x
2. Step 2: Convert to fraction form
   46,500/59,706 = 59,706/x
3. Step 3: Cross multiply
   46,500x = 59,706 × 59,706
4. Step 4: Simplify right side
   46,500x = 3,564,806,436
5. Step 5: Solve for x
   x = 3,564,806,436/46,500
6. Step 6: Final answer
   x = 76,662.50