Finding the Third Proportional to 34,653 and 74,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,653 : 74,773.50 = 74,773.50 : x
2. Step 2: Convert to fraction form
   34,653/74,773.50 = 74,773.50/x
3. Step 3: Cross multiply
   34,653x = 74,773.50 × 74,773.50
4. Step 4: Simplify right side
   34,653x = 5,591,076,302.25
5. Step 5: Solve for x
   x = 5,591,076,302.25/34,653
6. Step 6: Final answer
   x = 161,344.65