Finding the Third Proportional to 37,523.25 and 52,774.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,523.25 : 52,774.88 = 52,774.88 : x
2. Step 2: Convert to fraction form
   37,523.25/52,774.88 = 52,774.88/x
3. Step 3: Cross multiply
   37,523.25x = 52,774.88 × 52,774.88
4. Step 4: Simplify right side
   37,523.25x = 2,785,187,431.27
5. Step 5: Solve for x
   x = 2,785,187,431.27/37,523.25
6. Step 6: Final answer
   x = 74,225.64