Finding the Third Proportional to 23,382 and 34,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,382 : 34,972.50 = 34,972.50 : x
2. Step 2: Convert to fraction form
   23,382/34,972.50 = 34,972.50/x
3. Step 3: Cross multiply
   23,382x = 34,972.50 × 34,972.50
4. Step 4: Simplify right side
   23,382x = 1,223,075,756.25
5. Step 5: Solve for x
   x = 1,223,075,756.25/23,382
6. Step 6: Final answer
   x = 52,308.43