Finding the Third Proportional to 36,814.50 and 88,755.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,814.50 : 88,755.75 = 88,755.75 : x
2. Step 2: Convert to fraction form
   36,814.50/88,755.75 = 88,755.75/x
3. Step 3: Cross multiply
   36,814.50x = 88,755.75 × 88,755.75
4. Step 4: Simplify right side
   36,814.50x = 7,877,583,158.06
5. Step 5: Solve for x
   x = 7,877,583,158.06/36,814.50
6. Step 6: Final answer
   x = 213,980.45