Finding the Third Proportional to 32,083 and 77,290

Step by Step Solution

1. Step 1: Write the proportion equation
   32,083 : 77,290 = 77,290 : x
2. Step 2: Convert to fraction form
   32,083/77,290 = 77,290/x
3. Step 3: Cross multiply
   32,083x = 77,290 × 77,290
4. Step 4: Simplify right side
   32,083x = 5,973,744,100
5. Step 5: Solve for x
   x = 5,973,744,100/32,083
6. Step 6: Final answer
   x = 186,196.56