Finding the Third Proportional to 23,692.50 and 52,326

Step by Step Solution

1. Step 1: Write the proportion equation
   23,692.50 : 52,326 = 52,326 : x
2. Step 2: Convert to fraction form
   23,692.50/52,326 = 52,326/x
3. Step 3: Cross multiply
   23,692.50x = 52,326 × 52,326
4. Step 4: Simplify right side
   23,692.50x = 2,738,010,276
5. Step 5: Solve for x
   x = 2,738,010,276/23,692.50
6. Step 6: Final answer
   x = 115,564.43