Finding the Third Proportional to 34,602 and 75,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,602 : 75,805.50 = 75,805.50 : x
2. Step 2: Convert to fraction form
   34,602/75,805.50 = 75,805.50/x
3. Step 3: Cross multiply
   34,602x = 75,805.50 × 75,805.50
4. Step 4: Simplify right side
   34,602x = 5,746,473,830.25
5. Step 5: Solve for x
   x = 5,746,473,830.25/34,602
6. Step 6: Final answer
   x = 166,073.46