Finding the Third Proportional to 37,323 and 53,139

Step by Step Solution

1. Step 1: Write the proportion equation
   37,323 : 53,139 = 53,139 : x
2. Step 2: Convert to fraction form
   37,323/53,139 = 53,139/x
3. Step 3: Cross multiply
   37,323x = 53,139 × 53,139
4. Step 4: Simplify right side
   37,323x = 2,823,753,321
5. Step 5: Solve for x
   x = 2,823,753,321/37,323
6. Step 6: Final answer
   x = 75,657.19