Finding the Third Proportional to 37,185 and 52,011

Step by Step Solution

1. Step 1: Write the proportion equation
   37,185 : 52,011 = 52,011 : x
2. Step 2: Convert to fraction form
   37,185/52,011 = 52,011/x
3. Step 3: Cross multiply
   37,185x = 52,011 × 52,011
4. Step 4: Simplify right side
   37,185x = 2,705,144,121
5. Step 5: Solve for x
   x = 2,705,144,121/37,185
6. Step 6: Final answer
   x = 72,748.26