Finding the Third Proportional to 37,088 and 57,513

Step by Step Solution

1. Step 1: Write the proportion equation
   37,088 : 57,513 = 57,513 : x
2. Step 2: Convert to fraction form
   37,088/57,513 = 57,513/x
3. Step 3: Cross multiply
   37,088x = 57,513 × 57,513
4. Step 4: Simplify right side
   37,088x = 3,307,745,169
5. Step 5: Solve for x
   x = 3,307,745,169/37,088
6. Step 6: Final answer
   x = 89,186.40