Finding the Third Proportional to 13,710 and 32,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,710 : 32,827.50 = 32,827.50 : x
2. Step 2: Convert to fraction form
   13,710/32,827.50 = 32,827.50/x
3. Step 3: Cross multiply
   13,710x = 32,827.50 × 32,827.50
4. Step 4: Simplify right side
   13,710x = 1,077,644,756.25
5. Step 5: Solve for x
   x = 1,077,644,756.25/13,710
6. Step 6: Final answer
   x = 78,602.83