Finding the Third Proportional to 14,658 and 21,498.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,658 : 21,498.75 = 21,498.75 : x
2. Step 2: Convert to fraction form
   14,658/21,498.75 = 21,498.75/x
3. Step 3: Cross multiply
   14,658x = 21,498.75 × 21,498.75
4. Step 4: Simplify right side
   14,658x = 462,196,251.56
5. Step 5: Solve for x
   x = 462,196,251.56/14,658
6. Step 6: Final answer
   x = 31,532.01