Finding the Third Proportional to 37,624.50 and 88,812.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,624.50 : 88,812.75 = 88,812.75 : x
2. Step 2: Convert to fraction form
   37,624.50/88,812.75 = 88,812.75/x
3. Step 3: Cross multiply
   37,624.50x = 88,812.75 × 88,812.75
4. Step 4: Simplify right side
   37,624.50x = 7,887,704,562.56
5. Step 5: Solve for x
   x = 7,887,704,562.56/37,624.50
6. Step 6: Final answer
   x = 209,642.77