Finding the Third Proportional to 37,080 and 57,429

Step by Step Solution

1. Step 1: Write the proportion equation
   37,080 : 57,429 = 57,429 : x
2. Step 2: Convert to fraction form
   37,080/57,429 = 57,429/x
3. Step 3: Cross multiply
   37,080x = 57,429 × 57,429
4. Step 4: Simplify right side
   37,080x = 3,298,090,041
5. Step 5: Solve for x
   x = 3,298,090,041/37,080
6. Step 6: Final answer
   x = 88,945.25