Finding the Third Proportional to 37,133 and 57,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,133 : 57,977.50 = 57,977.50 : x
2. Step 2: Convert to fraction form
   37,133/57,977.50 = 57,977.50/x
3. Step 3: Cross multiply
   37,133x = 57,977.50 × 57,977.50
4. Step 4: Simplify right side
   37,133x = 3,361,390,506.25
5. Step 5: Solve for x
   x = 3,361,390,506.25/37,133
6. Step 6: Final answer
   x = 90,523.00