Finding the Third Proportional to 15,624 and 34,106.06

Step by Step Solution

1. Step 1: Write the proportion equation
   15,624 : 34,106.06 = 34,106.06 : x
2. Step 2: Convert to fraction form
   15,624/34,106.06 = 34,106.06/x
3. Step 3: Cross multiply
   15,624x = 34,106.06 × 34,106.06
4. Step 4: Simplify right side
   15,624x = 1,163,223,499.25
5. Step 5: Solve for x
   x = 1,163,223,499.25/15,624
6. Step 6: Final answer
   x = 74,451.07