Finding the Third Proportional to 24,577.25 and 36,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,577.25 : 36,987.50 = 36,987.50 : x
2. Step 2: Convert to fraction form
   24,577.25/36,987.50 = 36,987.50/x
3. Step 3: Cross multiply
   24,577.25x = 36,987.50 × 36,987.50
4. Step 4: Simplify right side
   24,577.25x = 1,368,075,156.25
5. Step 5: Solve for x
   x = 1,368,075,156.25/24,577.25
6. Step 6: Final answer
   x = 55,664.29