Finding the Third Proportional to 34,507.50 and 74,658

Step by Step Solution

1. Step 1: Write the proportion equation
   34,507.50 : 74,658 = 74,658 : x
2. Step 2: Convert to fraction form
   34,507.50/74,658 = 74,658/x
3. Step 3: Cross multiply
   34,507.50x = 74,658 × 74,658
4. Step 4: Simplify right side
   34,507.50x = 5,573,816,964
5. Step 5: Solve for x
   x = 5,573,816,964/34,507.50
6. Step 6: Final answer
   x = 161,524.80