Finding the Third Proportional to 34,407 and 75,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,407 : 75,577.50 = 75,577.50 : x
2. Step 2: Convert to fraction form
   34,407/75,577.50 = 75,577.50/x
3. Step 3: Cross multiply
   34,407x = 75,577.50 × 75,577.50
4. Step 4: Simplify right side
   34,407x = 5,711,958,506.25
5. Step 5: Solve for x
   x = 5,711,958,506.25/34,407
6. Step 6: Final answer
   x = 166,011.52