Finding the Third Proportional to 37,302 and 52,152

Step by Step Solution

1. Step 1: Write the proportion equation
   37,302 : 52,152 = 52,152 : x
2. Step 2: Convert to fraction form
   37,302/52,152 = 52,152/x
3. Step 3: Cross multiply
   37,302x = 52,152 × 52,152
4. Step 4: Simplify right side
   37,302x = 2,719,831,104
5. Step 5: Solve for x
   x = 2,719,831,104/37,302
6. Step 6: Final answer
   x = 72,913.81