Finding the Third Proportional to 37,419 and 83,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,419 : 83,143.50 = 83,143.50 : x
2. Step 2: Convert to fraction form
   37,419/83,143.50 = 83,143.50/x
3. Step 3: Cross multiply
   37,419x = 83,143.50 × 83,143.50
4. Step 4: Simplify right side
   37,419x = 6,912,841,592.25
5. Step 5: Solve for x
   x = 6,912,841,592.25/37,419
6. Step 6: Final answer
   x = 184,741.48