Finding the Third Proportional to 23,692.50 and 37,506.38

Step by Step Solution

1. Step 1: Write the proportion equation
   23,692.50 : 37,506.38 = 37,506.38 : x
2. Step 2: Convert to fraction form
   23,692.50/37,506.38 = 37,506.38/x
3. Step 3: Cross multiply
   23,692.50x = 37,506.38 × 37,506.38
4. Step 4: Simplify right side
   23,692.50x = 1,406,728,165.64
5. Step 5: Solve for x
   x = 1,406,728,165.64/23,692.50
6. Step 6: Final answer
   x = 59,374.41