Finding the Third Proportional to 37,080 and 55,201.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,080 : 55,201.50 = 55,201.50 : x
2. Step 2: Convert to fraction form
   37,080/55,201.50 = 55,201.50/x
3. Step 3: Cross multiply
   37,080x = 55,201.50 × 55,201.50
4. Step 4: Simplify right side
   37,080x = 3,047,205,602.25
5. Step 5: Solve for x
   x = 3,047,205,602.25/37,080
6. Step 6: Final answer
   x = 82,179.22