Finding the Third Proportional to 37,815.75 and 83,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,815.75 : 83,164.50 = 83,164.50 : x
2. Step 2: Convert to fraction form
   37,815.75/83,164.50 = 83,164.50/x
3. Step 3: Cross multiply
   37,815.75x = 83,164.50 × 83,164.50
4. Step 4: Simplify right side
   37,815.75x = 6,916,334,060.25
5. Step 5: Solve for x
   x = 6,916,334,060.25/37,815.75
6. Step 6: Final answer
   x = 182,895.59