Finding the Third Proportional to 42,924 and 65,264

Step by Step Solution

1. Step 1: Write the proportion equation
   42,924 : 65,264 = 65,264 : x
2. Step 2: Convert to fraction form
   42,924/65,264 = 65,264/x
3. Step 3: Cross multiply
   42,924x = 65,264 × 65,264
4. Step 4: Simplify right side
   42,924x = 4,259,389,696
5. Step 5: Solve for x
   x = 4,259,389,696/42,924
6. Step 6: Final answer
   x = 99,230.96