Finding the Third Proportional to 13,780 and 29,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,780 : 29,851.50 = 29,851.50 : x
2. Step 2: Convert to fraction form
   13,780/29,851.50 = 29,851.50/x
3. Step 3: Cross multiply
   13,780x = 29,851.50 × 29,851.50
4. Step 4: Simplify right side
   13,780x = 891,112,052.25
5. Step 5: Solve for x
   x = 891,112,052.25/13,780
6. Step 6: Final answer
   x = 64,667.06