Finding the Third Proportional to 23,553 and 34,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,553 : 34,897.50 = 34,897.50 : x
2. Step 2: Convert to fraction form
   23,553/34,897.50 = 34,897.50/x
3. Step 3: Cross multiply
   23,553x = 34,897.50 × 34,897.50
4. Step 4: Simplify right side
   23,553x = 1,217,835,506.25
5. Step 5: Solve for x
   x = 1,217,835,506.25/23,553
6. Step 6: Final answer
   x = 51,706.17