Finding the Third Proportional to 24,586.88 and 37,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,586.88 : 37,084.50 = 37,084.50 : x
2. Step 2: Convert to fraction form
   24,586.88/37,084.50 = 37,084.50/x
3. Step 3: Cross multiply
   24,586.88x = 37,084.50 × 37,084.50
4. Step 4: Simplify right side
   24,586.88x = 1,375,260,140.25
5. Step 5: Solve for x
   x = 1,375,260,140.25/24,586.88
6. Step 6: Final answer
   x = 55,934.73