Finding the Third Proportional to 52,924 and 72,096

Step by Step Solution

1. Step 1: Write the proportion equation
   52,924 : 72,096 = 72,096 : x
2. Step 2: Convert to fraction form
   52,924/72,096 = 72,096/x
3. Step 3: Cross multiply
   52,924x = 72,096 × 72,096
4. Step 4: Simplify right side
   52,924x = 5,197,833,216
5. Step 5: Solve for x
   x = 5,197,833,216/52,924
6. Step 6: Final answer
   x = 98,213.16