Finding the Third Proportional to 34,590 and 75,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,590 : 75,781.50 = 75,781.50 : x
2. Step 2: Convert to fraction form
   34,590/75,781.50 = 75,781.50/x
3. Step 3: Cross multiply
   34,590x = 75,781.50 × 75,781.50
4. Step 4: Simplify right side
   34,590x = 5,742,835,742.25
5. Step 5: Solve for x
   x = 5,742,835,742.25/34,590
6. Step 6: Final answer
   x = 166,025.90