Finding the Third Proportional to 35,833.50 and 78,011.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,833.50 : 78,011.75 = 78,011.75 : x
2. Step 2: Convert to fraction form
   35,833.50/78,011.75 = 78,011.75/x
3. Step 3: Cross multiply
   35,833.50x = 78,011.75 × 78,011.75
4. Step 4: Simplify right side
   35,833.50x = 6,085,833,138.06
5. Step 5: Solve for x
   x = 6,085,833,138.06/35,833.50
6. Step 6: Final answer
   x = 169,836.41