Finding the Third Proportional to 34,160 and 53,470

Step by Step Solution

1. Step 1: Write the proportion equation
   34,160 : 53,470 = 53,470 : x
2. Step 2: Convert to fraction form
   34,160/53,470 = 53,470/x
3. Step 3: Cross multiply
   34,160x = 53,470 × 53,470
4. Step 4: Simplify right side
   34,160x = 2,859,040,900
5. Step 5: Solve for x
   x = 2,859,040,900/34,160
6. Step 6: Final answer
   x = 83,695.58