Finding the Third Proportional to 34,552 and 72,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,552 : 72,585.50 = 72,585.50 : x
2. Step 2: Convert to fraction form
   34,552/72,585.50 = 72,585.50/x
3. Step 3: Cross multiply
   34,552x = 72,585.50 × 72,585.50
4. Step 4: Simplify right side
   34,552x = 5,268,654,810.25
5. Step 5: Solve for x
   x = 5,268,654,810.25/34,552
6. Step 6: Final answer
   x = 152,484.80