Finding the Third Proportional to 35,889 and 83,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,889 : 83,827.50 = 83,827.50 : x
2. Step 2: Convert to fraction form
   35,889/83,827.50 = 83,827.50/x
3. Step 3: Cross multiply
   35,889x = 83,827.50 × 83,827.50
4. Step 4: Simplify right side
   35,889x = 7,027,049,756.25
5. Step 5: Solve for x
   x = 7,027,049,756.25/35,889
6. Step 6: Final answer
   x = 195,799.54