Finding the Third Proportional to 34,545 and 74,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,545 : 74,374.50 = 74,374.50 : x
2. Step 2: Convert to fraction form
   34,545/74,374.50 = 74,374.50/x
3. Step 3: Cross multiply
   34,545x = 74,374.50 × 74,374.50
4. Step 4: Simplify right side
   34,545x = 5,531,566,250.25
5. Step 5: Solve for x
   x = 5,531,566,250.25/34,545
6. Step 6: Final answer
   x = 160,126.39