Finding the Third Proportional to 53,008 and 71,736

Step by Step Solution

1. Step 1: Write the proportion equation
   53,008 : 71,736 = 71,736 : x
2. Step 2: Convert to fraction form
   53,008/71,736 = 71,736/x
3. Step 3: Cross multiply
   53,008x = 71,736 × 71,736
4. Step 4: Simplify right side
   53,008x = 5,146,053,696
5. Step 5: Solve for x
   x = 5,146,053,696/53,008
6. Step 6: Final answer
   x = 97,080.70