Finding the Third Proportional to 13,851 and 32,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,851 : 32,926.50 = 32,926.50 : x
2. Step 2: Convert to fraction form
   13,851/32,926.50 = 32,926.50/x
3. Step 3: Cross multiply
   13,851x = 32,926.50 × 32,926.50
4. Step 4: Simplify right side
   13,851x = 1,084,154,402.25
5. Step 5: Solve for x
   x = 1,084,154,402.25/13,851
6. Step 6: Final answer
   x = 78,272.64