Finding the Third Proportional to 13,697 and 32,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,697 : 32,322.50 = 32,322.50 : x
2. Step 2: Convert to fraction form
   13,697/32,322.50 = 32,322.50/x
3. Step 3: Cross multiply
   13,697x = 32,322.50 × 32,322.50
4. Step 4: Simplify right side
   13,697x = 1,044,744,006.25
5. Step 5: Solve for x
   x = 1,044,744,006.25/13,697
6. Step 6: Final answer
   x = 76,275.39