Finding the Third Proportional to 14,606 and 21,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,606 : 21,837.50 = 21,837.50 : x
2. Step 2: Convert to fraction form
   14,606/21,837.50 = 21,837.50/x
3. Step 3: Cross multiply
   14,606x = 21,837.50 × 21,837.50
4. Step 4: Simplify right side
   14,606x = 476,876,406.25
5. Step 5: Solve for x
   x = 476,876,406.25/14,606
6. Step 6: Final answer
   x = 32,649.35