Finding the Third Proportional to 13,617 and 32,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,617 : 32,953.50 = 32,953.50 : x
2. Step 2: Convert to fraction form
   13,617/32,953.50 = 32,953.50/x
3. Step 3: Cross multiply
   13,617x = 32,953.50 × 32,953.50
4. Step 4: Simplify right side
   13,617x = 1,085,933,162.25
5. Step 5: Solve for x
   x = 1,085,933,162.25/13,617
6. Step 6: Final answer
   x = 79,748.34