Finding the Third Proportional to 37,970.50 and 83,089

Step by Step Solution

1. Step 1: Write the proportion equation
   37,970.50 : 83,089 = 83,089 : x
2. Step 2: Convert to fraction form
   37,970.50/83,089 = 83,089/x
3. Step 3: Cross multiply
   37,970.50x = 83,089 × 83,089
4. Step 4: Simplify right side
   37,970.50x = 6,903,781,921
5. Step 5: Solve for x
   x = 6,903,781,921/37,970.50
6. Step 6: Final answer
   x = 181,819.62