Finding the Third Proportional to 34,300 and 53,088

Step by Step Solution

1. Step 1: Write the proportion equation
   34,300 : 53,088 = 53,088 : x
2. Step 2: Convert to fraction form
   34,300/53,088 = 53,088/x
3. Step 3: Cross multiply
   34,300x = 53,088 × 53,088
4. Step 4: Simplify right side
   34,300x = 2,818,335,744
5. Step 5: Solve for x
   x = 2,818,335,744/34,300
6. Step 6: Final answer
   x = 82,167.22