Finding the Third Proportional to 24,642 and 37,914.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,642 : 37,914.75 = 37,914.75 : x
2. Step 2: Convert to fraction form
   24,642/37,914.75 = 37,914.75/x
3. Step 3: Cross multiply
   24,642x = 37,914.75 × 37,914.75
4. Step 4: Simplify right side
   24,642x = 1,437,528,267.56
5. Step 5: Solve for x
   x = 1,437,528,267.56/24,642
6. Step 6: Final answer
   x = 58,336.51