Finding the Third Proportional to 34,527 and 74,501

Step by Step Solution

1. Step 1: Write the proportion equation
   34,527 : 74,501 = 74,501 : x
2. Step 2: Convert to fraction form
   34,527/74,501 = 74,501/x
3. Step 3: Cross multiply
   34,527x = 74,501 × 74,501
4. Step 4: Simplify right side
   34,527x = 5,550,399,001
5. Step 5: Solve for x
   x = 5,550,399,001/34,527
6. Step 6: Final answer
   x = 160,755.32