Finding the Third Proportional to 34,772.50 and 75,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,772.50 : 75,088.50 = 75,088.50 : x
2. Step 2: Convert to fraction form
   34,772.50/75,088.50 = 75,088.50/x
3. Step 3: Cross multiply
   34,772.50x = 75,088.50 × 75,088.50
4. Step 4: Simplify right side
   34,772.50x = 5,638,282,832.25
5. Step 5: Solve for x
   x = 5,638,282,832.25/34,772.50
6. Step 6: Final answer
   x = 162,147.76