Finding the Third Proportional to 32,835 and 77,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,835 : 77,083.50 = 77,083.50 : x
2. Step 2: Convert to fraction form
   32,835/77,083.50 = 77,083.50/x
3. Step 3: Cross multiply
   32,835x = 77,083.50 × 77,083.50
4. Step 4: Simplify right side
   32,835x = 5,941,865,972.25
5. Step 5: Solve for x
   x = 5,941,865,972.25/32,835
6. Step 6: Final answer
   x = 180,961.35