Finding the Third Proportional to 69,033 and 102,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,033 : 102,577.50 = 102,577.50 : x
2. Step 2: Convert to fraction form
   69,033/102,577.50 = 102,577.50/x
3. Step 3: Cross multiply
   69,033x = 102,577.50 × 102,577.50
4. Step 4: Simplify right side
   69,033x = 10,522,143,506.25
5. Step 5: Solve for x
   x = 10,522,143,506.25/69,033
6. Step 6: Final answer
   x = 152,421.94