Finding the Third Proportional to 13,770 and 29,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 29,727.50 = 29,727.50 : x
2. Step 2: Convert to fraction form
   13,770/29,727.50 = 29,727.50/x
3. Step 3: Cross multiply
   13,770x = 29,727.50 × 29,727.50
4. Step 4: Simplify right side
   13,770x = 883,724,256.25
5. Step 5: Solve for x
   x = 883,724,256.25/13,770
6. Step 6: Final answer
   x = 64,177.51