Finding the Third Proportional to 14,637.50 and 34,521

Step by Step Solution

1. Step 1: Write the proportion equation
   14,637.50 : 34,521 = 34,521 : x
2. Step 2: Convert to fraction form
   14,637.50/34,521 = 34,521/x
3. Step 3: Cross multiply
   14,637.50x = 34,521 × 34,521
4. Step 4: Simplify right side
   14,637.50x = 1,191,699,441
5. Step 5: Solve for x
   x = 1,191,699,441/14,637.50
6. Step 6: Final answer
   x = 81,414.14