Finding the Third Proportional to 37,080 and 87,494.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,080 : 87,494.63 = 87,494.63 : x
2. Step 2: Convert to fraction form
   37,080/87,494.63 = 87,494.63/x
3. Step 3: Cross multiply
   37,080x = 87,494.63 × 87,494.63
4. Step 4: Simplify right side
   37,080x = 7,655,309,403.89
5. Step 5: Solve for x
   x = 7,655,309,403.89/37,080
6. Step 6: Final answer
   x = 206,453.87