Finding the Third Proportional to 37,196 and 52,025

Step by Step Solution

1. Step 1: Write the proportion equation
   37,196 : 52,025 = 52,025 : x
2. Step 2: Convert to fraction form
   37,196/52,025 = 52,025/x
3. Step 3: Cross multiply
   37,196x = 52,025 × 52,025
4. Step 4: Simplify right side
   37,196x = 2,706,600,625
5. Step 5: Solve for x
   x = 2,706,600,625/37,196
6. Step 6: Final answer
   x = 72,765.91