Finding the Third Proportional to 17,628.50 and 37,819

Step by Step Solution

1. Step 1: Write the proportion equation
   17,628.50 : 37,819 = 37,819 : x
2. Step 2: Convert to fraction form
   17,628.50/37,819 = 37,819/x
3. Step 3: Cross multiply
   17,628.50x = 37,819 × 37,819
4. Step 4: Simplify right side
   17,628.50x = 1,430,276,761
5. Step 5: Solve for x
   x = 1,430,276,761/17,628.50
6. Step 6: Final answer
   x = 81,134.34