Finding the Third Proportional to 34,258.50 and 74,742.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,258.50 : 74,742.75 = 74,742.75 : x
2. Step 2: Convert to fraction form
   34,258.50/74,742.75 = 74,742.75/x
3. Step 3: Cross multiply
   34,258.50x = 74,742.75 × 74,742.75
4. Step 4: Simplify right side
   34,258.50x = 5,586,478,677.56
5. Step 5: Solve for x
   x = 5,586,478,677.56/34,258.50
6. Step 6: Final answer
   x = 163,068.40