Finding the Third Proportional to 9,877.50 and 21,395.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.50 : 21,395.25 = 21,395.25 : x
2. Step 2: Convert to fraction form
   9,877.50/21,395.25 = 21,395.25/x
3. Step 3: Cross multiply
   9,877.50x = 21,395.25 × 21,395.25
4. Step 4: Simplify right side
   9,877.50x = 457,756,722.56
5. Step 5: Solve for x
   x = 457,756,722.56/9,877.50
6. Step 6: Final answer
   x = 46,343.38