Finding the Third Proportional to 35,396 and 76,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,396 : 76,038.50 = 76,038.50 : x
2. Step 2: Convert to fraction form
   35,396/76,038.50 = 76,038.50/x
3. Step 3: Cross multiply
   35,396x = 76,038.50 × 76,038.50
4. Step 4: Simplify right side
   35,396x = 5,781,853,482.25
5. Step 5: Solve for x
   x = 5,781,853,482.25/35,396
6. Step 6: Final answer
   x = 163,347.65