Finding the Third Proportional to 24,536.25 and 37,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,536.25 : 37,759.50 = 37,759.50 : x
2. Step 2: Convert to fraction form
   24,536.25/37,759.50 = 37,759.50/x
3. Step 3: Cross multiply
   24,536.25x = 37,759.50 × 37,759.50
4. Step 4: Simplify right side
   24,536.25x = 1,425,779,840.25
5. Step 5: Solve for x
   x = 1,425,779,840.25/24,536.25
6. Step 6: Final answer
   x = 58,109.12