Finding the Third Proportional to 37,188 and 53,010

Step by Step Solution

1. Step 1: Write the proportion equation
   37,188 : 53,010 = 53,010 : x
2. Step 2: Convert to fraction form
   37,188/53,010 = 53,010/x
3. Step 3: Cross multiply
   37,188x = 53,010 × 53,010
4. Step 4: Simplify right side
   37,188x = 2,810,060,100
5. Step 5: Solve for x
   x = 2,810,060,100/37,188
6. Step 6: Final answer
   x = 75,563.63