Finding the Third Proportional to 36,471 and 52,152

Step by Step Solution

1. Step 1: Write the proportion equation
   36,471 : 52,152 = 52,152 : x
2. Step 2: Convert to fraction form
   36,471/52,152 = 52,152/x
3. Step 3: Cross multiply
   36,471x = 52,152 × 52,152
4. Step 4: Simplify right side
   36,471x = 2,719,831,104
5. Step 5: Solve for x
   x = 2,719,831,104/36,471
6. Step 6: Final answer
   x = 74,575.17