Finding the Third Proportional to 37,977.75 and 83,246.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,977.75 : 83,246.25 = 83,246.25 : x
2. Step 2: Convert to fraction form
   37,977.75/83,246.25 = 83,246.25/x
3. Step 3: Cross multiply
   37,977.75x = 83,246.25 × 83,246.25
4. Step 4: Simplify right side
   37,977.75x = 6,929,938,139.06
5. Step 5: Solve for x
   x = 6,929,938,139.06/37,977.75
6. Step 6: Final answer
   x = 182,473.64