Finding the Third Proportional to 53,166 and 72,236

Step by Step Solution

1. Step 1: Write the proportion equation
   53,166 : 72,236 = 72,236 : x
2. Step 2: Convert to fraction form
   53,166/72,236 = 72,236/x
3. Step 3: Cross multiply
   53,166x = 72,236 × 72,236
4. Step 4: Simplify right side
   53,166x = 5,218,039,696
5. Step 5: Solve for x
   x = 5,218,039,696/53,166
6. Step 6: Final answer
   x = 98,146.18