Finding the Third Proportional to 37,921.50 and 83,298.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,921.50 : 83,298.38 = 83,298.38 : x
2. Step 2: Convert to fraction form
   37,921.50/83,298.38 = 83,298.38/x
3. Step 3: Cross multiply
   37,921.50x = 83,298.38 × 83,298.38
4. Step 4: Simplify right side
   37,921.50x = 6,938,619,277.64
5. Step 5: Solve for x
   x = 6,938,619,277.64/37,921.50
6. Step 6: Final answer
   x = 182,973.23