Finding the Third Proportional to 34,641 and 74,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,641 : 74,686.50 = 74,686.50 : x
2. Step 2: Convert to fraction form
   34,641/74,686.50 = 74,686.50/x
3. Step 3: Cross multiply
   34,641x = 74,686.50 × 74,686.50
4. Step 4: Simplify right side
   34,641x = 5,578,073,282.25
5. Step 5: Solve for x
   x = 5,578,073,282.25/34,641
6. Step 6: Final answer
   x = 161,025.18