Finding the Third Proportional to 36,930 and 89,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,930 : 89,032.50 = 89,032.50 : x
2. Step 2: Convert to fraction form
   36,930/89,032.50 = 89,032.50/x
3. Step 3: Cross multiply
   36,930x = 89,032.50 × 89,032.50
4. Step 4: Simplify right side
   36,930x = 7,926,786,056.25
5. Step 5: Solve for x
   x = 7,926,786,056.25/36,930
6. Step 6: Final answer
   x = 214,643.54