Finding the Third Proportional to 37,787.63 and 57,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,787.63 : 57,586.50 = 57,586.50 : x
2. Step 2: Convert to fraction form
   37,787.63/57,586.50 = 57,586.50/x
3. Step 3: Cross multiply
   37,787.63x = 57,586.50 × 57,586.50
4. Step 4: Simplify right side
   37,787.63x = 3,316,204,982.25
5. Step 5: Solve for x
   x = 3,316,204,982.25/37,787.63
6. Step 6: Final answer
   x = 87,759.02