Finding the Third Proportional to 37,323 and 59,097

Step by Step Solution

1. Step 1: Write the proportion equation
   37,323 : 59,097 = 59,097 : x
2. Step 2: Convert to fraction form
   37,323/59,097 = 59,097/x
3. Step 3: Cross multiply
   37,323x = 59,097 × 59,097
4. Step 4: Simplify right side
   37,323x = 3,492,455,409
5. Step 5: Solve for x
   x = 3,492,455,409/37,323
6. Step 6: Final answer
   x = 93,573.81